SOLUTION: Use composition to verify that g(x)=x-1/5 is the inverse of f(x)=5x+1

Algebra ->  Functions -> SOLUTION: Use composition to verify that g(x)=x-1/5 is the inverse of f(x)=5x+1      Log On


   

Question 369845: Use composition to verify that g(x)=x-1/5 is the inverse of f(x)=5x+1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28g%29=5g%2B1
f%28g%29=5%28%28x-1%29%2F5%29%2B1
f%28g%29=x-1%2B1
f%28g%29=x
So then f%28x%29=5x%2B1 is the inverse of g%28x%29=%28x-1%29%2F5