Question

6. Find the inverse of the function f(x)= 2x - 4 and show explain each step used to find the inverse.

Answer 1

The steps for finding the inverse of a function are:

Change f(x) to y

Swop x's and y's

make y the subject. ie y = ...

Change y to f−1(x)

f(x)=2x−4 ⇒y=2x−4

x =2y−4

x+4=2y

y=x+42 this is what we want!

f−1(x)=x+42