Question

Show these are or are not inverses.
f(x)=2x+6 and g(x)=1/2x-3

Answer 1

First, change the values of x for y, and y for x in the first function:


`x = 2y + 6`
Organize the equation in terms of y.


`x = 2y + 6 \\ 2y = 6 - x \\y = (6 - x)/(2) \\ y = 3 - (1)/(2) x`
Given that f^-1(x) is 3-1/2x, each of the given functions are not inverses of each other.