SOLUTION: Find (fog)(x) if f(x) =2x-1 and g(x) =x-2

Algebra ->  Functions -> SOLUTION: Find (fog)(x) if f(x) =2x-1 and g(x) =x-2      Log On


   



Question 118987: Find (fog)(x) if f(x) =2x-1 and g(x) =x-2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Your notation %28f%2Ag%29%28x%29 is equivalent to f%28g%28x%29%29.

f%28x%29=2x-1 so f%28g%28x%29%29=2%28g%28x%29%29-1, but g%28x%29=x-2 so f%28g%28x%29%29=2%28x-2%29-1

Simplifying:
f%28g%28x%29%29=2x-5