Question

2. Construct an inverse function to determine the result.​

Answer 1

Given the function

f(x)

we want to find the inverse function,

f−1(x).

First, replace f(x)with y. This is done to make the rest of the process easier.Replace every x with a y and replace every y with an x.

Solve the equation from Step 2 for y

This is the step where mistakes are most often made so be careful with this step.

Replace

y

with  f−1(x) In other words, we’ve managed to find the inverse at this point!

Verify your work by checking that(f∘f−1)(x)=x and(f−1∘f)(x)=x are both true. This work can sometimes be messy making it easy to make mistakes so again be careful.