Question

Determine whether f(x) and g(x) are inverse of each other:
f(x)=(3)/(2)x +6
g(x)=(2)/(3)x-6

Answer 1

They are inverses of eachother if and only if f(g(x)) = x AND g(f(x)) = x

Answer 2

Hmm ok, I worded the question exactly the way it was worded in book?? Would it be yes based on the way the question is worded? :) thanks

Answer 3

You still have to check, so I'll to f(g(x))
f(g(x)) = 3/ 2(2/ 3x-6) +6, and i simplified and I didnt get x alone..
So they arent inverses

You can check out this site http://www.purplemath.com/modules/invrsfcn7.htm
It explains pretty well how to check if two functions are inverses