Question

i need some help with this one I'm working with inverse functions I'm needing step by step in how to do it

Answer 1

Given:

A function is

$f(x)=3x$

Required:

Find the inverse of the function.

Explanation:

The given function is

$f(x)=3x$

substitute f(x) =y

$y=3x$

Interchange x and y.

$x=3y$

Find the value of y as:

$y=\frac{x}{3}$

substitute

$y=f^{-1}(x)$$f^{-1}(x)=\frac{x}{3}$

Final answer:

The inverse of the given function is

$f^{-1}(x)=\frac{x}{3}$