SOLUTION: PLEASEEE HEPPP!!! Use composition to show that f and g are inverse of each other. g(x)=(x-8)^3+5 f(x)=^3sqrt(x-5)+8

Algebra ->  Inverses -> SOLUTION: PLEASEEE HEPPP!!! Use composition to show that f and g are inverse of each other. g(x)=(x-8)^3+5 f(x)=^3sqrt(x-5)+8      Log On


   

Question 920201: PLEASEEE HEPPP!!!
Use composition to show that f and g are inverse of each other.
g(x)=(x-8)^3+5
f(x)=^3sqrt(x-5)+8
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
g(x)=(x-8)^3+5
find g%5E%28-1%29%28x%29
x = (y-8)^3 + 5
x-5 = (y-8)^3
root%283%2C+%28x-5%29%29+=+y+-+8
root%283%2C+%28x-5%29%29+%2B+8=+g%5E%28-1%29 = f(x) = root%283%2C+%28x-5%29%29+%2B+8=+y+
....
similarly find f%5E%28-1%29%28x%29 = g(x)
to determine f and g are inverses of each other