f(x)= 2x+3/x-1, x ≠ 1, dan f^-1 adalah invers dari f
tentukan :
A. infers fungsi F
B. Nilai dari f^-1 (-3)​​

Answers

Answer 1

Answer:

The answer are

A.

[tex] {f}^{ - 1} (x) = \frac{x + 3}{x - 2} [/tex]

B.

[tex] {f}^{ - 1} ( - 3) = 0[/tex]

Step-by-step explanation:

To find the infers we do that

[tex]f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0[/tex]


Related Questions

Factor: 42x + 14 *
Please help me with this question

Answers

Answer:

x = 0.3333333333

Step-by-step explanation:

Simplifying

42x = 14

Solving

42x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '42'.

x = 0.3333333333

Simplifying

x = 0.3333333333

Which description best fits the graph?

decreasing, then increasing

always increasing

increasing, then decreasing

always decreasing

Answers

always decreasing is the answer

in estimating the body temperature of a person, what difficulties did you encounter?Explain​

Answers

Answer:

In general , While estimating a bodies temperature that temperature is not the same for long, the temperature of the body is not at homeostasis, the temperature constantly has bumps and drops in the temperature this causes in accuracy thats why the thermometer takes 10-20 seconds because it takes the average of all the temperature's so it is accurate, that is a difficulty when estimating temperature because estimates are not good and the temperature keeps having ups and downs.

Use the model to write a equation

Answers

Answer:

5/8-2/8=3/8 I hope this helped!

what is 41x plus 21x​

Answers

The answer to that question is 62x ()//‘’::;;

cuántos encuentros son necesarios para una entrevista completa​

Answers

4 encuentros,creo Ó 2 encuentros.Pero yo creo que 4

can someone please help me find the value of y

Answers

Answer:

4y=48

y=48/4

y=12

therefore,the value of y is 12

Three rabbits can eat five carrots in four minutes. How long does it take four rabbits to eat 15 carrots?

Answers

Answer:

12

Step-by-step explanation:

15/5=3

3x4=12

The width of a rectangle is 7 inches and the length is 13 longer than the width. Find the perimeter of the rectangle. (PLEASE ANSWER QUICKLY!!!)

Answers

The perimeter is 54 because the length must be 20. (20+20) + (7+7) = 54

Linear pairs are supplementary

True or false

Plss answerr

Answers

the correct answer is true.

True

If two angles form a linear pair, the angles are supplementary. A linear pair types a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which skill they are supplementary.

How do you write 75% as a unreduced fraction

Answers

Answer:75/100

Step-by-step explanation:

75%=75/100

Answer:

75/100

Step-by-step explanation:

reduced fractions of this include but are not limited too: 3/4 6/8 12/16 24/32 48/64

Help - I don’t understand this please help

Answers

Step-by-step explanation:

have you taken the picture from the PC which website is this is tell me

Can you conclude that these triangles are congruent?
Yes or no

Answers

Answer:

Yes

Step-by-step

If there flipped then they’re congruent

Answer:

Yes

Step-by-step explanation:

Here we get two triangles,

In triangle MNH. In triangle JKH

PLEASE HELP ME WITH THIS

Answers

Answer:

help with what?

Step-by-step explanation:

HELP PELASE ASAPppppp

Answers

Answer:

(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]

(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]

(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]

Step-by-step explanation:

All right triangles are similar

When two triangles are similar then the ratio  of their corresponding sides are equal.

Using the property

[tex]\triangle ABC\sim \triangle DBA[/tex]

[tex]\frac{BC}{AB}=\frac{AB}{BD}[/tex]

[tex]\frac{e}{c}=\frac{c}{f}[/tex]

[tex]\triangle ACD\sim\triangle BAD[/tex]

[tex]\frac{CD}{AD}=\frac{AD}{BD}[/tex]

[tex]\frac{d}{a}=\frac{a}{f}[/tex]

[tex]\triangle ACD\sim \triangle BCA[/tex]

[tex]\frac{CD}{AC}=\frac{AC}{BC}[/tex]

[tex]\frac{d}{b}=\frac{b}{e}[/tex]

Correct options are

(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]

(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]

(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]

expand using exponential form a.) 1492.034 b.) 1200.36​

Answers

Answer:

Step-by-step explanation:

Expanded Exponential Form:

1,492.034 =

1 × 10^3

+ 4 × 10^2

+ 9 × 10^1

+ 2 × 10^0

+ 0 × 10^-1

+ 3 × 10^-2

+ 4 × 10^-3

Expanded Exponential Form:

1,200.36 =

1 × 10^3

+ 2 × 10^2

+ 0 × 10^1

+ 0 × 10^0

+ 3 × 10^-1

+ 6 × 10^-2

use the communitive property of addition to rewrite 3 + 5 + 7. Which expression is equivalent?

Answers

Answer: 8+7

Step-by-step explanation: 3+5+7 is equivalent to 8+7 because if you add the both of them you’ll get the same exact answer which is 15

someone help me with this answer please !!

Answers

Answer:

-27

Step-by-step explanation:

Patty, Helene, and Mira share $0.96 that they found in an old wallet. How much money does each girl get?

Answers

Answer:

33 cents

Step-by-step explanation:

.96 divided by 3 = .36

solve the equation 3(x + 1) + 6 = 33.

Answers

Answer:

155

Step-by-step explanation:

Pls help me ASAP pls

Answers

d= -11 I don’t remember if you have to flip the inequality symbol or not but the answer is -11

(1,5) with a slope of -2

Answers

Answer:

y = -2x + 7 is the equation if that's what you are asking for.

answer:

Linear equation :

y= -2x +7

Step-by-step explanation:

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and one 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink?

Answers

Complete Question

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink

Answer:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Step-by-step explanation:

Let the cost of

1 donut = x

300ml carton of juice = y

Max buys six donuts and a 300ml carton of juice for $3.50

6x + y = 3.50.....Equation 1

y = 3.50 - 6x

Susie buys four donuts and two 300ml carton of juice for $3.00

4x + 2y = 3...... Equation 2

Ben buys eight donuts and one 300ml carton of juice for $6.50

8x + 5y = 6.50......Equation 3

We substitute 3.50 - 6x for y in Equation 2

4x + 2y = 3...... Equation 2

4x + 2(3.50 - 6x) = 3

4x + 7 - 12x = 3

Collect like terms

4x - 12x = 3 - 7

-8x = -4

x = -4/-8

x = $0.50

Solving for y

y = 3.50 - 6x

y = 3.50 - 6(0.50)

y = 3.50 - 3.00

y = $0.50

Therefore:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

the number of magazine subscriptions decreases by 8% each year.If there are 225,000 this year,how many will there be 7 years from now

Answers

Answer:

I got 147107

Step-by-step explanation:

If the subscriptions decrease by 8% each year then you would times 225000 by 0.08 then take the number you get from that and subtract it from 225000. And repeat until you get to the seventh year.

Enter a digit in each box to complete the division problem.

Please answer i’ll give brainliest

Answers

Step-by-step explanation:

2527 is the first line so 5 in the box

then 47 so a 4 in that box

top answer row

315 E7 so a 5 in that box.

Yuki went on a walk around her school. The school was mapped onto a grid where each unit represented one foot in real life. She started at the entrance, which was located at (50, 25). She walked to the library at (50, 100). Then she went to her math class which was located at (200, 100). She went to her locker at (200, 25) before she went back to where she started. How far did she walk in all?

Answers

Answer:

750

Step-by-step explanation:

50+25+50+100+200+100+200+25

I didn't mean to click an answer but please help me out

Answers

Answer:

135

Step-by-step explanation:

135+45=180, and supplementary angles always equal 180

Answer:

The answer is 135

Step-by-step explanation:

Definition of supplementary angles: either of two angles whose sum is 180°, so 180 - 45 = 135!

Please mark as brainliest.

45 is 3% of what number?

quick I need an answer!
hurry pls!

Answers

Answer:

stop rushing brat

Step-by-step explanation:

Step-by-step explanation:

Steps to solve "45 is 3 percent of what number?"

We have, 3% × x = 45

or,

3

100

× x = 45

Multiplying both sides by 100 and dividing both sides by 3,

we have x = 45 ×

100

3

x = 1500

If you are using a calculator, simply enter 45×100÷3, which will give you the answer.

SOMEBODY PLEASE HELP ASAP PLEASE PLEASE PLEASE WILL GIVE YOU A GIFTCARD OF YOUR CHOICE

Answers

Answer:

what grade are u in

Step-by-step explanation:

Answer: I hope this helps!! It would mean the world to me if i got an Amazon or Xbox giftcard thanks!! :D

Step-by-step explanation:

I really need help. What would be the slope-intercept equation?
Stock value per share in a certain company has been steadily decreasing by $3.71 per share per year for the last ten years. Ten years ago the value of the stock was $147.25. Let y be the value of the stock x years after it begins to decline.

Answers

Answer:

y = -3.71x + 147.25

Step-by-step explanation:

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