SOLUTION: Are f and g inverses of each other? f(x)=-23 +16; g(x)= (x-16)/-23 ????? please and thank you!!!

Algebra ->  Functions -> SOLUTION: Are f and g inverses of each other? f(x)=-23 +16; g(x)= (x-16)/-23 ????? please and thank you!!!      Log On


   

Question 754689: Are f and g inverses of each other? f(x)=-23 +16; g(x)= (x-16)/-23 ????? please and thank you!!!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=-23+%2B16....I believe you forgot x next to -23
f%28x%29=-23x+%2B16; g%28x%29=+%28x-16%29%2F-23
Are f and g inverses of each other?
first find inverses of g

-23%2Ag%28x%29=+%28x-16%29 ...switch g%28x%29 and x to get g%5E-1%28x%29
-23x=+g%5E-1%28x%29-16
-23x%2B16=+g%5E-1%28x%29
so, f%28x%29=g%5E-1%28x%29 and f and g are inverses of each other