Which function represents the inverse of function f?

Which Function Represents The Inverse Of Function F?

Answers

Answer 1

Answer: Choice [B]

Step-by-step explanation:

Hii, I'd love to help you out! (:

This particular problem is all about finding inverse functions.

This can be done in 3 easy steps, which are shown below.

Replace f(x) with ySwitch x and y placesSolve for y

The process is shown below.

[tex]\multimap\quad \tt f(x)=3x+5 \\ y=3x+5\\ x=3y+5\\Solve\;for\;y[/tex]

[tex]\multimap\quad \tt x=3y+5\\x-5=3y\\\cfrac{x-5}{3}=y[/tex]

Why doesn't our answer show up among the answer choices? Has all of our hardwork been in vain?

Ofc not! There's just one more thing that can be done to simplify our answer.

[tex]\tt \cfrac{x}{5}-\cfrac{5}{3}[/tex]

We're getting closer!

[tex]\tt \cfrac{1}{3}x-\cfrac{5}{3}[/tex]

Voila! There's our answer, cheers! (;

________________

Hope I helped!

Best wishes.

Reach far.

Aim high.

Dream big.

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Related Questions

the map is drawn to the scale of 1:4000 and the distance in between two places on the map is 4 cm what is the actual distance between those two places​

Answers

Answer:

4 × 4000 = 16000cm or 160 meters


Find the value of x to the nearest tenth.

Answers

X/32=tan54
X=44
But since it is to nearest tenth it is 44.0

Answer: 44

What is [tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] ?

[tex]S\frac{O}{H} C\frac{A}{H}T\frac{O}{A}[/tex] is an abbreviation for how to making finding the angle measurements of right triangles easier!

[tex]S\frac{O}{H}[/tex] is also known as sine. Using the opposite side length of the triangle [O] and the hypothenuse [H], can help you find the missing angle measurement of a triangle.

C is cosine and T is tangentA is adjacent side length

As stated before, this abbreviation is typically used to help find missing angles, but in this question, you already have your angle measurements. You are missing a side length.

Using the angle 54° as a reference point, the side length 32 is adjacent to it, so you have [A]. With A, you can use either Cosine or Tangent.

The missing side is opposite the 54° angle, so you have [O]. The only ratio with O and A belongs to Tangent, so we will use this ratio to solve for the missing side.

Write this equation down and use your calculator to solve for x:

      *make sure your calculator is in degrees*

tan (54°) = [tex]\frac{x}{32}[/tex]

32 × tan (54°) = x

44.04 ≈ 44 =x

Sienna is solving the quadratic equation by completing the square.

3x2 + 9x – 4 = 0

3x2 + 9x = 4

A(x2 + 3x) = 4

Answers

Answer:

See below

Step-by-step explanation:

3 (x^2 + 3x) = 4

3 ( x + 3/2)^2   = 4 + 27/4  

Which four inequalities can be used to find the solution to this absolute value inequality?

Answers

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the inequality:

3 ≤ |x + 2| ≤ 6

Hence:

x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)

This gives:

x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3

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Which points are solutions to the linear inequality y < 0.5x 2? select three options. (–3, –2) (–2, 1) (–1, –2) (–1, 2) (1, –2)

Answers

The points which are solutions to the linear inequality are; (-3, -2), (-1, -2) and (1, -2)

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

For (–3, –2)

-2 < 0.5(-3) + 2

-2 < 0.5 (satisfied)

For (–2, 1)

1 < 0.5(-2) + 2

1 < 1  (Not satisfied)

For (–1, –2)

-2 < 0.5(-1) + 2

-2 < 1.5 (Satisfied)

For (–1, 2)

2 < 0.5(-1) + 2

2 < 1.5 (Not satisfied)

For (1, –2)

-2 < 0.5(1) + 2

-2 < 1.5 (Satisfied)

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The length of a rectangle plus its width is 25
cm. The area is 150 square cm. What are the
length and width of the rectangle?
Separate the answers with a comma.

Answers

length + width = 25cm
length = 25cm - width
length x width = 150 cm^2
(25cm-w)w= 150
25w-w^2=150
0=w^2-25w+150
0=(w-15)(w-10)
w=10cm
l=15cm

This should be easy. Answer it please :D

Answers

Answer:

is it 1 ques or 4 different questions?

Chris wants to create a rectangular rose garden in a yard. he has 40 meters of fencing to go around the garden and he has to use it all. pick two ways he could construct the garden

Answers

Answer:

4x10 8x5

Step-by-step explanation:

Answer
1st way = 8W x 12L
2nd way = 6W x 14L
Reason
Using W as width and L length
We know Perimeter is 2w + 2L
1st way
8m width x 12m length =
2(8) + 2(12) =
16 + 24 = 40
2nd way
6m width x 14 length
2(6) + 2(14)=
12 + 28 = 40

Find the inequality represented by the graph:

Answers

The equation of linear system in the form of inequality will be x + y ≥ 2 or y ≥ 2 – x.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The graph is given below.

The graph is a linear equation.

Then the equation of linear system in the form of inequality will be

The two point are given as (0, 2) and (1, 1). Then the equation of linear system will be

y – 2 ≥ [(2 – 1) / (0 – 1)] (x – 0)

y – 2 ≥ – x

x + y ≥ 2

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Jamaal is allowed to walk no farther than three blocks in either direction from his house. If his house is located on the 57th block of the town, which absolute value equation can be used to determine the farthest block to which Jamaal is allowed to walk?

|x – 57| = 0
|57 – 3| = x
|3 – 57| = x
|x – 57| = 3

Answers

Answer:

| x - 57 | = 3

Step-by-step explanation:

Since the house is on the 57th block, Jamaal must stop walking on the 54th block or the 60th block.

A sector of a circle of radius 14cm containing
an angle 60° is folded to forma cone
Calculate the radius of the base of the circle
}

Answers

answer is 2 ⅓

Explanation

Length of arc = circumference of the base of the

cone

is β/360 x 2πR=2πr

make r the subject of formula

r =βR/360

r=60 x 14/360

r=2⅓cm

please mark as brainliest if i am right

R=2.65cm i just answered

The function f(x) is shown on the graph.
-181x
15
12-
Hr)
-9-
6-
3-
-3
T
3
9
12-
10
18+
If f(x) = 0, what is x?
O 0 only
O -6 only
O-2, 1, or 3 only
O-6, -2, 1, or 3 only

Answers

Answer: -6

Step-by-step explanation:

prove that (1- cos(pi)/(8))(1-cos(3 pi)/(8))(1-cos(5 pi)/(8))(1=cos(7 pi)/(8))=(1)/(8)

Answers

Step-by-step explanation:

1&$)&(5$6$5*-_+_7&'+&-^€=%

If 343 superscript x baseline = 49 superscript 4 minus x, what is the value of x?

Answers

The value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.

Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.

In the question, we are given that 343ˣ = 49⁴ ⁻ ˣ, and are asked to find the value of x.

We try to solve the exponential equation, using the laws of exponents in the following way:

343ˣ = 49⁴ ⁻ ˣ,

or, (7³)ˣ = (7²)⁽⁴ - ˣ⁾ {Since, 343 = 7³ and 49 = 7²}.

or, 7³ˣ = 7⁸ ⁻ ²ˣ {Using the law: [tex](x^{a})^{b} = x^{ab}[/tex]},

or, 3x = 8 - 2x {Using the law: [tex]x^a = x^b \Rightarrow a = b[/tex], when x ≠ 0}.

or, 3x + 2x = 8 - 2x + 2x {Adding 2x to both sides of the equation},

or, 5x = 8 {Simplifying}

or, 5x/5 = 8/5 {Dividing both sides by 5},

or, x = 8/5 or 1.6 {Simplifying}

Therefore, the value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.

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(15-10)-(14+12+ (8+5)​

Answers

Answer:

-34

Step-by-step explanation:

Remove all brackets by multiplying the existing math signs then take it from there

(15-10)-(14+12+ (8+5)​

5 - (14 + 12 + (8 + 5)

5 - (14 + 12 + 13)

5 - 39

-34

Need to know asap thanks

Answers

Answer:

[tex]\large \boxed{\sf 16}[/tex]

Explanation:

[tex]\Rightarrow \sf \sqrt{121} + \sqrt[3]{125}[/tex]

[tex]\Rightarrow \sf{ \sqrt{11 \ x \ 11} + \sqrt[3] {\sf5 \ x \ 5 \ x \ 5}[/tex]

[tex]\Rightarrow \sf{ \sqrt{11^2} + \sqrt[\sf 3] {\sf 5^3}[/tex]

[tex]\Rightarrow \sf 11 + 5[/tex]

[tex]\Rightarrow \sf 16[/tex]

I hope this help you . the concept of sure and cube roo

I read 1/3 of a book in an hour.
How much more of the book will I read in 2 1/5 hours

Answers

Answer:

Step-by-step explanation:

To find the number of pages of the book in the given hour:

To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.

[tex]\sf \text{ Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }[/tex]

                                                       [tex]\sf = \dfrac{1}{3}*\dfrac{11}{5}\\\\=\dfrac{11}{15}[/tex]

[tex]\sf \text{Number of pages read more in 2 $\dfrac{1}{5}$ hours = $\dfrac{11}{15}-\dfrac{1}{3}$}[/tex]

                                                                 [tex]\sf =\dfrac{11}{15}-\dfrac{1*5}{3*5}\\\\=\dfrac{11}{15}-\dfrac{5}{15}\\\\=\dfrac{6}{15}[/tex]

Answer:

see below

Step-by-step explanation:

Here is another way

1/3 book / hr   *  2 1/5 hr =

1/3 * 11/5 = 11/15 read in 2 1/5 hr    

1/3is the same as 5 /15          

   11/15 - 5 /15 = 6/15 = 2/5 more read in 2 1/5 hr that 1/3 hr

factorise x - 2xz - 2xy + 4y². Show all the steps.​

Answers

Answer:

1(x - 2xz - 2xy + 4y²)

Step-by-step explanation:

I notice that no term all of them have. which means itbwill be factorised via 1.

1(x - 2xz - 2xy + 4y²)

Someone or anyone pls help me, I just want the answers pls it’s so urgent

Answers

Step-by-step explanation:

The first question is pretty straight forward, all you have to do is get a ruler and measure how long XY is. Then draw another line that has the same exact length next to it and label it AB, by drawing A and B at the end points like how they did in the line XY

For the second question measure the length of FG and then measure the length of YZ and add the two lengths and then draw a line with that length and then label it CD by labeling the end points C and D.

For the last question measure the length of MN and then divide that length in 2 and then label that midpoint O. for example if I had the same problem and I put my ruler on the line and saw the length was 10 inches, I would go to where it's 5 inches and label the midpoint on the line. You also want to draw a perpendicular line through that midpoint O.

Really confused about this one anyone mind to help 100 points

Answers

Answer:

9(x - 5)

Step-by-step explanation:

Just write the equation according to the sentence. It's THAT SIMPLE.

Answer:

d

Step-by-step explanation:

What is the net percent gained or lost on a stock with goes up 30% on monday and then drops 30% on tuesday? use a negative sign to indicate percentage lost.

Answers

Answer:

0 is the answer to the question

Me no like this meth and me is not smart
halp

Answers

Anwser B is right because the angle is always the second letter
The answer is B because the angle will always be the second letter

helppppp pleaseee tap or click picture if needed​

Answers

Answer:

A

Step-by-step explanation:

He saves allowance for 5 months     5 months * $6 = 30 dollars

  30 ÷ 3      would be the # of rides he can go on

Are the equations 5x=3-x and 5x=-x+3 equivalent?​

Answers

Answer:

  yes

Step-by-step explanation:

The commutative property of addition applies to let you swap the order of the summands.

__

Here is how the commutative property can be applied.

  5x = 3 -x . . . . . given

  5x = (3) +(-x) . . . . shown as a sum

  5x = (-x) +(3) . . . . order swapped using commutative property of addition

  5x = -x +3 . . . . . . equivalent equation

Hello!
im studying for my future SAT test and my school is over can you please show me steps on this i need to understand it thanks!

Answers

Answer:

Therefore, an integer that's divisible by both 6 and 9 has at least one 2 and two 3s in its prime factorization. That means it is divisible by 2 and 3: 2 x 3 6, 3 x 3 9, and 2 x 3 x 3 = 18. It's not necessarily divisible by 12 or 36, each of which includes two 2s in its prime factorization

Barry’s Burger Barn opened 25 franchises in its first year of operation. The second year, they opened 30 additional franchises. They opened 35 more in the third year and 40 more in the fourth year. If this pattern holds for all future years, perform the following: a. Determine how many franchises Barry’s will open each year in year 5, year 14, and year 26. Explain how you did this. b. Determine how many total franchises Barry’s will have in operation in year 10, year 22, and in year 50. Explain how you did this. c. How did you determine your answers? (Relate the relevant information in the story problem above to your calculations.)

Answers

The number of franchises that Barry will open each year in year 5, year 14, and year 26 will be 45, 90, and 150.

How to compute the value?

a = 25

d = 5

The fifth year will be:

= a + (n - 1)d

= 25 + (5 - 1)5

= 25 + (4 × 5)

= 45

The 14th year will be:

= a + 13d

= 25 + 13(5)

= 90

The 26th will be:

= a + 25d

= 25 + 25(5)

= 150

The total franchises Barry’s will have in operation in year 10, year 22, and in year 50 will be:

Year 10 = n/2[2a + (n - 1)d]

= 10/2[5(25) + 45]

= 475

Year 22 = 25[50 + 245]

= 1705

Year 50 = 25(50 + 245)

= 7375

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Write the rate in lowest terms a printer can print 22 pages in 55 seconds

Answers

Answer:

2/5

Step-by-step explanation:

22/11=2

55/11=5

Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.

Answers

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

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Instructions: Rewrite the equation in Slope-Intercept Form. y−2=−2/5(x−5)

Answers

The equation in Slope-Intercept Form is y = -2/5 x + 4.

We have given that,

y−2=−2/5(x−5)

We have to rewrite the equation in Slope-Intercept Form.

What is the slope-intercept form of the line?

slope-intercept form is y = mx + b

for equation y - 2 = -2/5 (x - 5) we need to simplify/rearrange

so y - 2 = -2/5 x + -2/5 (-5)

= -2/5 x + 2

=> y = -2/5 x + 4

This line has a gradient of -2/5 (goes down 2 units and across 5 units) and a y-intercept of 4 so passes through the point (0,4).

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Use the commutative property to simplify the expression 4/3 + 3/4 + 2/3

Answers

The simplified expression using  the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]

Meaning of commutative property

commutative property can be defined as a mathematics attribute that is possessed by a mathematical equation, that enables the objects undergoing addition or multiplication to change position.

In conclusion, The simplified expression using  the commutative property is : [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]

Analysis

4/3 + 3/4 + 2/3 =  ( [tex]\frac{4}{3}[/tex] +  [tex]\frac{2}{3}[/tex] ) +  [tex]\frac{3}{4}[/tex]  =   [tex]\frac{6}{3}[/tex] + [tex]\frac{3}{4}[/tex]

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