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.

Step-by-step 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=(x)/(3)`

substitute

`y=f^(-1)(x)`
`f^(-1)(x)=(x)/(3)`

Final answer:

The inverse of the given function is

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