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

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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