Question

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

Answer 1

The inverse of f(x) = 5x - 3 is:

`f^(-1) (x) = (3)/(5) + (x)/(5)`

Answer 2

inverse of function is
`(x+3)/(5)`.

Explanation:

Given:If f(x) = 5x − 3

To find: which expression represents its inverse function.

Solution We have given that

f(x) = 5x − 3

Step 1: take f(x) = y

y = 5x -3.

Step 2 : Interchange the x and y

x = 5y -3.

Solve for y

On adding both sides by number 3

x + 3 = 5y.

On dividing both sides by 5

y =
`(x+3)/(5)`.

Here y =
`f(x)^(-1)` =
`(x+3)/(5)`.

Therefore, inverse of function is
`(x+3)/(5)`.