SOLUTION: Determine whether the following functions are inverse. f(x) = (8x+9)/8 g(x) = (10x-7)/8 I am unable to solve.

Algebra ->  Functions -> SOLUTION: Determine whether the following functions are inverse. f(x) = (8x+9)/8 g(x) = (10x-7)/8 I am unable to solve.       Log On


   

Question 57657: Determine whether the following functions are inverse.
f(x) = (8x+9)/8
g(x) = (10x-7)/8
I am unable to solve.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Determine whether the following functions are inverse.
f(x) = (8x+9)/8
g(x) = (10x-7)/8
:
You can determine if the functions are inverses by taking the composite functions.
If (fog)(x)=x and (gof)(x)=x, then they are inverses of each other.
(fog)(x)=f(g(x))=f((10x-7)/8)
%28fog%29%28x%29=8%28%2810x-7%29%2F8%29%2B9
=%2810x-7%29%2B9
=10x%2B2
This is not = to x, therefore f(x) and g(x) are not inverse functions of each other.
Happy Calculating!!!