SOLUTION: Find the inverse of the one-to-one function. f(x)= (x-7)^3 Answer choices: A. f^-1(x)=sqrt(x) +7 B. f^-1(x)=cubed root of (x) -7 C. f^-1(x)=cubed root of (x) + 343 D. f^-

Algebra ->  Functions -> SOLUTION: Find the inverse of the one-to-one function. f(x)= (x-7)^3 Answer choices: A. f^-1(x)=sqrt(x) +7 B. f^-1(x)=cubed root of (x) -7 C. f^-1(x)=cubed root of (x) + 343 D. f^-      Log On


   



Question 349248: Find the inverse of the one-to-one function.
f(x)= (x-7)^3
Answer choices:
A. f^-1(x)=sqrt(x) +7
B. f^-1(x)=cubed root of (x) -7
C. f^-1(x)=cubed root of (x) + 343
D. f^-1(x)=cubed root of (x) +7

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=%28x-7%29%5E3
Interchange x and y and solve for y.
The new y is the inverse of the original y.
highlight%28x%29=%28highlight%28y%29-7%29%5E3
root%283%2Cx%29=y-7
yinv=root%283%2Cx%29%2B7
f%5E%28-1%29%28x%29=root%283%2Cx%29%2B7