A function and its inverse are shown on the graph.
y
y
6
f(x)
4
Which answer pairs a possible domain restriction
for f(x) and its corresponding impact on f'(x)?
O f(x) domain: x 2 1
f'(x) domain: x 2 1
Of(x) domain: x 2 1
f'(x) range: y21
Of(x) domain: XS-2
f'(x) domain: x = -2
Of(x) domain: xs-2
f'(x) range: ys-2
2.
x
+
-2
2
4
6
-2
f (x)
-6

Answers

Answer 1

Answer:

not: f(x) domain: x ≤ -2

f^-1(x) range: y ≤ -2

Step-by-step explanation:

Answer 2

The possible domain restriction for f(x) and its corresponding impact on f'(x) is f(x) domain: x < 1, f'(x) domain: x < 1.

How to find the function which used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The graph of function

Now,

Looking at the graph, we can see that the function and its inverse are reflections of each other across the line y = x. This means that the domain of the inverse function corresponds to the range of the original function, and vice versa.

From the graph, we can see that the original function f(x) has a vertical asymptote at x = 1. This means that the function is undefined at x = 1.

Therefore, a possible domain restriction for f(x) is x < 1, which would exclude x = 1 from the domain. The corresponding impact on f'(x) would be that f'(x) would also be undefined at x = 1.

So, the answer that pairs a possible domain restriction for f(x) and its corresponding impact on f'(x) is:

f(x) domain: x < 1

f'(x) domain: x < 1

This is because the domain of f(x) is restricted to exclude x = 1, and the corresponding impact on f'(x) is that it is also undefined at x = 1.

Therefore, by the graphed function the answer will be f(x) domain: x < 1, f'(x) domain: x < 1.

Learn more about finding the graphed function here:

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Related Questions

How do I solve × + 12, × = 15​

Answers

Answer:

27

Step-by-step explanation:

x+12

Let x=15

15+12

27

Answer:

x = 15th root of (-0.067) = -0.83482

Step-by-step explanation:

On a coordinate plane, triangle A has points (negative 4, 0), (negative 4, 4), (0, 4). Triangle A prime has points (1, 0), (1, 2), (3, 2).
The pre-image, A, was dilated by a factor of 1/2 about the origin. It was then transformed in another way.

Identify the transformation after the dilation.
rotation 90° counterclockwise
rotation 180° counterclockwise
translation up 3 units
translation right 3 units

Answers

Answer:

d

Step-by-step explanation:

Answer:

that person is wrong it is c

Step-by-step explanation:

i did it

I need help on this and pls I actually do so dont put wrong answers or that you need points pls dont :)

Answers

Answer:

Equation: 120=66+2m

Step-by-step explanation:

120=66+2m

120-66=54

54/2=27

m=27

The store bought a table for $150, and sold it for $240. What percentage was the markup?

Answers

Answer:50%

Step-by-step explanation:

Answer:

the bought 65% porcentege

find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet

Answers

Answer:

area = 4

Step-by-step explanation:

area = length × width

length= 3 1/3 =3/3 = 1 and width= 3

area = 1 × 3

= 4


Helpppppppp meeeeeeeee

Answers

Answer:

[tex]V = 97.911in^3[/tex]

Step-by-step explanation:

Given

Shapes: Cube and Cone

Required

Determine the volume

First we calculate the volume of the cube

[tex]V_1 = l^3[/tex]

Where

l = side length = 5.1

[tex]V_1 = 5.1^3[/tex]

[tex]V_1 = 132.651[/tex]

Next, calculate the volume of the cone using:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

Where

h = 5.1

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 5.1[/tex]

[tex]r = 2.55[/tex]

So, we have:

[tex]V_2 = \frac{\pi r^2h}{3}[/tex]

[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]

[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]

[tex]V_2 = \frac{729.5805}{21}[/tex]

[tex]V_2 = 34.74[/tex]

The volume of the figure is:

[tex]V=V_1 - V_2[/tex]

[tex]V_1 = 132.651[/tex]

[tex]V = 132.651 - 34.74[/tex]

[tex]V = 97.911in^3[/tex]

How many gallons of 12% salt solution should a biologist add to 5 gallons of 15% salt solution to get a 14% solution?

WILL MARK BRAINLIEST IF ANSWERED WITHIN 15 MINUTES

Answers

Answer:

life

Step-by-step explanation:

hi

BRAINLIEST TO BEST ANSWER :D
Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.


3(x - 6) + (4x + 12) - 6x

3x - 9 + 4x + 12 - 6x

(3x + 4x - 6x) + (-9 + 12)

x + 3

Question 1
Identify the line which contains the error.
A 3(x - 6) + (4x + 12) - 6x
B 3x - 9 + 4x + 12 - 6x
C (3x + 4x - 6x) + (-9 + 12)
D x + 3

Answers

Answer:

C

Step-by-step explanation:

Answer:hope this helps!!! :)

defenitly A it equals x-6 not x-3

3(x - 6) + (4x + 12) - 6x  =>   − 6

Step-by-step explanation:

help pls will give brainiest

Answers

Answer:

A= (3,3)

B= (4,1)

C= ( 1,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A 2, -1

B 1, -3

C 4, -4

Hope this helps!

Thanks for Brainliest!

Abosolute value of -5

Answers

The absolute value of -5: 5

Which
pair of triangles can be proven congruent by SAS?

Answers

second one is the only one with two sides and an angle marked so 2

Two triangles that are congruent using SAS.

SAS = Side Angle Side

The two triangles in option B are congruent by SAS.

Option B is the correct answer

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two triangles that are congruent using SAS.

SAS = Side Angle Side

Now,

The two triangles in option B are congruent by SAS.

There are two sides that are equal in each triangle.

There is one angle that is equal in each triangle.

Thus,

The two triangles in option B are congruent by SAS.

Option B is the correct answer

Learn more about triangles here:

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8(5 – 2x)
need help answering this question

Answers

Distribute property.
8x5= 40
8x2x= 16x
40-16x

Let's simplify this problem using the distributive property.

The first thing we want to do is change the minus to plus a negative.

Now distribute or multiply the 8 times

each of the terms inside the set of parentheses.

So we get 8(5) + 8(-2x) and this simplifies to 40 + -16x.

Point smtr located at (-6,13) and (8,13) on the coordinate plane want is the distance between these to points

Answers

Answer:

14 points in between

Step-by-step explanation:

just count how many spaces are in between those points on the graph

function machine
what is f(-10)=
for what input is the output 93

Answers

a) replace x with -10 and solve:

-6(-10)-3 = 60-3 = 57

f(-10) = 57

b) replace f(x) with 93 and solve for x:

93 = -6x-3

Add 3 to each side:

96 = -6x

Divide each side by -6:

x = -16

The input value is -16

Plz help me I’m stuck

Answers

Answer:

$10.50

Step-by-step explanation:

15% of 70 = $10.50

Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)

Answer: $10

Step-by-step explanation:

15%= 0.15

67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.

4/4 times 1/2 PLEASE HURRY ILL MARK BRAINLIEST

Answers

Answer: 1/2

Step-by-step explanation:4

4

×  

1

2

=  

1

2

Result in decimals: 0.5

Calculation steps:

4

4

×  

1

2

=  

4 × 1

4 × 2

=  

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

Further explanation

For the problem:

4

4

×  

1

2

= ?

Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

4 × 1

4 × 2

=  

4

8

The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

The result is:

4

4

×  

1

2

=  

1

2

Answer:

1/2

Step-by-step explanation:

any expression divided by itself is 1

1×1/2

any expression multiplied by 1 remains the same

1/2

Give that the line m is parrallel to the line r and m<IHB = (5y+39)° and m<HBC =(3y+85)° ,find m<CBG SHOW ALL WORK​

Answers

Answer:

5y+39=3y+85 that is 5y-3y=85-39= 2y=46 and the answer is y=23

R(-9,4) and S(2,-1); Find T

Answers

Answer:

The question doesn’t state what T represents, so I will assume T is one of two points:

1. The midpoint of R and S, or

2. S is the midpoint of RT.

1. T((-9+2)/2,(4-1)/2)=T(-7/2,3/2)

2. T(x,y): S(2,-1)=((-9+x)/2,(4+y)/2); 2=(-9+x)/2, 4=-9+x, x=13; (4+y)/2=-1, 4+y=-2, y=-6. T(13,-6)

 

Find the z-score boundaries that separate a normal distribution as described in each of the following. a. The middle 20% from the 80% in the tails. b. The middle 50% from the 50% in the tails. c. The middle 95% from the 5% in the tails. d. The middle 99% from the 1% in the tails.

Answers

Answer:

a) The boundaries are [tex]Z = \pm 0.253[/tex]

b) The boundaries are [tex]Z = \pm 0.675[/tex].

c) The boundaries are [tex]Z = \pm 1.96[/tex].

d) The boundaries are [tex]Z = \pm 2.575[/tex].

Step-by-step explanation:

Z-score:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

a. The middle 20% from the 80% in the tails.

The middle 20% is between the 50 - (20/2) = 40th percentile and the 50 + (20/2) = 60th percentile:

40th percentile: Z has a pvalue of 0.4, so Z = -0.253.

60th percentile: Z has a pvalue of 0.6, so Z = 0.253.

The boundaries are [tex]Z = \pm 0.253[/tex].

b. The middle 50% from the 50% in the tails.

The middle 50% is between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile:

25th percentile: Z has a pvalue of 0.25, so Z = -0.675.

75th percentile: Z has a pvalue of 0.75, so Z = 0.675.

The boundaries are [tex]Z = \pm 0.675[/tex].

c. The middle 95% from the 5% in the tails.

The middle 95% is between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile:

2.5th percentile: Z has a pvalue of 0.025, so Z = -1.96.

97.5th percentile: Z has a pvalue of 0.975, so Z = 1.96.

The boundaries are [tex]Z = \pm 1.96[/tex].

d. The middle 99% from the 1% in the tails.

The middle 99% is between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile:

0.5th percentile: Z has a pvalue of 0.005, so Z = -2.575.

99.5th percentile: Z has a pvalue of 0.995, so Z = 2.575.

The boundaries are [tex]Z = \pm 2.575[/tex].

The z-score boundaries, Z for a middle 20% from the 80% in the tails = [tex]\pm 0.253[/tex].The z-score boundaries, Z for a middle 50% from the 50% = [tex]\pm 0.675[/tex].The z-score boundaries, Z for a middle 95% from the 5% = [tex]\pm 1.96[/tex].The z-score boundaries, Z for a middle 99% from the 1% = [tex]\pm 2.575[/tex].

What is a z-core?

A z-core is also referred to as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.

In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

x is the observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.

a. A middle 20% from the 80% in the tails.

Note: The middle 20% is between the 40th percentile and 60th percentile.

40th percentile (p-value = 0.4) and Z = -0.253.60th percentile (p-value = 0.6) and Z = 0.253.

Z = [tex]\pm 0.253[/tex]

b. A middle 50% from the 50% in the tails.

Note: The middle 50% is between the 25th percentile and 75th percentile.

25th percentile (p-value = 0.25) and Z = -0.675.75th percentile (p-value = 0.75) and Z = 0.675.

Z = [tex]\pm 0.675[/tex]

c. A middle 95% from the 5% in the tails.

Note: The middle 95% is between the 2.5th percentile and 97.5th percentile.

2.5th percentile (p-value = 0.025) and Z = -1.96.97.5th percentile (p-value = 0.975) and Z = 1.96.

Z = [tex]\pm 1.96[/tex]

d. A middle 99% from the 1% in the tails.

Note: The middle 99% is between the 0.5th percentile and 99.5th percentile.

0.5th percentile (p-value = 0.025) and Z = -2.575.99.5th percentile (p-value = 0.975) and Z = 2.575.

Z = [tex]\pm 2.575[/tex]

Read more on z-scores here: https://brainly.com/question/4302527

Brandon says that 3/8 equals 8/13 because 3 + 5 equals 8 + 8 + 5 equals 13 is he correct ? Explain​

Answers

Answer: No, because when you divide 3/8 you get .375 and when you divide 8/13 you get .62
Not sure where they even got the 5 from.

The distance around one block in Ava's neighborhood is 34 mile. If Ava rides her bike around the block 5 times, how many miles does she ride? Use the number line to help.

Answers

Answer:

I think the answer is 3 3/4

Step-by-step explanation:

5 × 3/4 = 15/4

15/4 = 3 3/4

Please help meee I wanna get out of this class already

Answers

Answer:

The answer is D.

Answer:

a

Step-by-step explanation:

1. You are baking cookies to bring to school for a bake sale. You have already finished 22 cookies, and you can bake 12 at a time on your cookie sheet. If you want to bake at least 100 cookies, how many more cookie sheets do you have to bake?

Answers

Answer:

pp

Step-by-step explanation:

pp

you need to bake 6 more sheets

Solve the exponential equation for x.

Answers

Answer:

c. x=-2

Step-by-step explanation:

256=(1/4)^(3x+2)

㏒(1/4) (256)=3x+2

-4=3x+2

3x=-6

x=-2

A leading magazine (like Barron's) reported at one time that the average number of weeks an individual is unemployed is 30 weeks. Assume that for the population of all unemployed individuals the population mean length of unemployment is 30 weeks and that the population standard deviation is 2.8 weeks. Suppose you would like to select a random sample of 56 unemployed individuals for a follow-up study.

Required:
a. Find the probability that a single randomly selected value is greater than 27.6.
b. Find the probability that a sample of size n=80 is randomly selected with a mean greater than 27.6.

Answers

Answer:

a) The probability that a single randomly selected value is greater than 27.6

P( X≥27.6) = 0.8051

b) The probability that a  sample of size randomly selected value is greater mean greater than 27.6

P( X≥27.6) = 0.9998

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 30 weeks

The Standard deviation of the Population = 2.8 weeks

Let 'X' be a Normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{27.6-30}{2.8} = -0.857[/tex]

The probability that a single randomly selected value is greater than 27.6

P( X≥27.6) = P(Z≥-0.857)

                 =  0.5 + A(-0.857)

                = 0.5 + A(0.857)

               = 0.5 + 0.3051

               = 0.8051

Step(ii):-

Let 'X' be a Normal distribution

[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } } = \frac{27.6-30}{\frac{2.8}{\sqrt{80} } } = -7.6677[/tex]

The probability that a  sample of size randomly selected value is greater mean greater than 27.6

P( X≥27.6) = P(Z≥-7667)

                 = 0.5 + A(-7.667)

                 =0.5 +0.4998

                 = 0.9998

I need help on this?

Answers

Answer:

it’s 65

Explanation:

because I went within

b. Solve for x, given the
MZ2 = 9x + 6

Answers

Answer:

Step-by-step explanation:

hello :

9x+6 =60

9x+6-60 =60-60

9x -54 =0

9x -54+54 =+54

9x=54

x = 54/9

x= 6°

Plz help would be a life saver

Answers

I think 4 is -4 and let me do 5

3) The elevator in a large office building is not working so you start climbing the stairs. The first flight
takes you 56 seconds. The second flight takes you 62 seconds. The third flight takes you 68 seconds.
If you climb a total of ten flights, how long will it take you to climb all ten flights combined?
a.
b.
C.
1660 seconds
830 seconds
330 seconds
105 seconds
6 seconds
d.
e.

Answers

Answer:

Oct 20, 2019 — So how many flights does it takes for stair climbing to qualify as a workout? ... the Harvard Alumni Health study reported that climbing 10-19 flights a week (two ... But to be clear, we're not talking about the type of stair climbing you do ... of 20 seconds (about 60 steps) or a single/double flight of stairs that ca

Step-by-step explanation:

For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive

Answers

Step-by-step explanation:

Consider a function

f

(

x

)

which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.

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Solve the inequality. Can someone use discourse in a short sentence? At her most recent race, Sue finished in 272 minutes. That is 15% less time than the previous race. What was her time in the previous race? Convert the following quadratic equation to vertex form. 2) 3x2 - 12x - 5 a command economy features:A. private companies operating without government interferenceB. the government directly controlling the production and sale of goodsC. people relying on customs to make economic decisionsD. the government placing some regulations on free businesses Solve x + 25 = 13 for x.Question 15 options:A) x = 1115B) x = 115C) x = 1115D) x = 115 the options areA. 1B. -1C. 1D. 1 find the measure of the missing angle Cotton was used for what during the war? *O Cotton wasn't used during the warO Cotton was used for soldiers uniform and socksO Cotton was used for waterO Cotton was used for bombs Which expression is equivalent to -32^3/5? 3. What international issue influencedWashington's opinion that the U.S.should stay out of foreign affairs?O Mexican WarO French RevolutionO English Civil WarO American Civil War Surface mining is less dangerous and more profitable than subsurface mining please answer this urgent Which of the following is not a key component of the merger model we walked through in the course? Which one of these business structures has one owner and is run by oneperson?A. Limited liability companyB. PartnershipC. CorporationD. Sole proprietorship Which sentence or phrase from the passage best supports your answer?O A These notable additions to the fundamental law were welcomed by thefriends of liberty throughout the world.B. They declared, in legal effect, this court has further said, "that the law inthe states shall be the same for the black as for the white.C. That all persons, whether colored or white, shall stand equal before thelaws of the states.D. All of the above What is 0.8 simplified to a fraction? d) What would be the total cost of purchasing the number of shirts needed to use your couponafter your coupon is applied and a 7.5% sales tax is charged on the purchase? what is the argument being made in this picture The Tell-Tale Heart: why did the narrator wait till the 8th night to enter the mans room?