Question

Are f(x)=(2)/(3)x+6 and g(x)=(3)/(2)x-9 inverse of each other

Answer 1

An inverse function is one that satisfies f(g(x))=x

Answer 2

So try picking a number and plugging it into g(x), then take the result and replace it for x in the f(x) function

Answer 3

they are not?

Answer 4

So lets say x =2, then g(2) = (3/2)*2 - 9 = -6
then f(g(2)) = f(-6) = (2/3)*-6 + 6 = 2

Answer 5

We started with x = 2 and ended with 2 as the result, so they are inverses of each other