SOLUTION: Find The inverse of F of X equals negative X to the fifth PowerPlus six Inverse of f(x)=-x^5+6

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Question 703718: Find The inverse of F of X equals negative X to the fifth PowerPlus six
Inverse of f(x)=-x^5+6
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The goal is find a function, g(x), so that -(g(x))^5+6=x. Transforming from this,
-(g(x))^5=-6+x
g(x)^5=x-6
g(x)=(x-6)^(1/5)

To read g(x) more easily, g%28x%29=%28x-6%29%5E%281%2F5%29
(That is, the quantity x minus six, to the one-fifth power)

g(x) and f(x) are inverses. f(g(x))=x, and g(f(x))=x