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Select the correct answer.

If f(x) = 5x − 3, which expression represents its inverse function?

A. 

`(x + 3)/(x + 2)`

B. 

`(x + 3)/(5)`

C. 

`(5)/(x + 3)`

D. 

`(x − 3)/(2)`


Respuesta :

Answer:

B

Step-by-step explanation:

let y = 5x - 3

rearrange making x the subject

add 3 to both sides

5x = y + 3 ( divide both sides by 5 )

x = [tex]\frac{y+3}{5}[/tex]

change y back into terms of x, hence

[tex]f^{-1}[/tex](x) = [tex]\frac{x+3}{5}[/tex] → B


The inverse function of  f(x) = 5x − 3, is  (x+3)/5. , Option B is the right answer.

What is an Inverse Function ?

A function that returns the original value for which a function has given the output is known as an inverse function.

The expression given is

f(x) = 5x -3

let f(x) = y

y = 5x-3

y +3 = 5x

x = (y+3)/5

To find the inverse function

The value of x will be the value of y

Therefore f⁻¹ (x) = (x+3)/5.

The inverse function of  f(x) = 5x − 3, is  (x+3)/5. , Option B is the right answer.

To know more about Inverse Function

https://brainly.com/question/2541698

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