Question 57657
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)
{{{(fog)(x)=8((10x-7)/8)+9}}}
={{{(10x-7)+9}}}
={{{10x+2}}}
This is not = to x, therefore f(x) and g(x) are not inverse functions of each other.
Happy Calculating!!!