Question

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

Answer 1

Answer:

inverse of function is $\frac{x+3}{5}$.

Step-by-step 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 = $\frac{x+3}{5}$.

Here y = $f(x)^{-1}$ = $\frac{x+3}{5}$.

Therefore, inverse of function is $\frac{x+3}{5}$.

Answer 2

The inverse of f(x) = 5x - 3 is:
$f^{-1} (x) = \frac{3}{5} + \frac{x}{5}$