SOLUTION: The function f is given below. If f and g are inverse functions, find g(x). f(x)=x^3-5 A) x+15 B) x^(1/3) +5^(1/3) C) (x-5)^(1/3) D) (x+5)^(1/3) E) (x+5)^3 F) None of th

Algebra ->  Inverses -> SOLUTION: The function f is given below. If f and g are inverse functions, find g(x). f(x)=x^3-5 A) x+15 B) x^(1/3) +5^(1/3) C) (x-5)^(1/3) D) (x+5)^(1/3) E) (x+5)^3 F) None of th      Log On


   

Question 1026212: The function f is given below. If f and g are inverse functions, find g(x).
f(x)=x^3-5
A) x+15
B) x^(1/3) +5^(1/3)
C) (x-5)^(1/3)
D) (x+5)^(1/3)
E) (x+5)^3
F) None of the above
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The function f%28x%29=x%5E3-5+ is a one-to-one function, hence its inverse exists.
f%5E%28-1%29%28x%29+=+%28x%2B5%29%5E%281%2F3%29 is its inverse function.