SOLUTION: Does anyone know how to Find the inverse of f (x)=∛(x-1) (cube root of x-1) ? Thanks

Algebra ->  Sequences-and-series -> SOLUTION: Does anyone know how to Find the inverse of f (x)=∛(x-1) (cube root of x-1) ? Thanks      Log On


   



Question 146994: Does anyone know how to Find the inverse of f (x)=∛(x-1) (cube root of x-1) ?
Thanks

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
To find the inverse of a function, first use x and y as dependent and independent variables.
f%28x%29=%28x-1%29%5E%281%2F3%29
y=%28x-1%29%5E%281%2F3%29
Now interchange x and y and solve for y.
y=%28x-1%29%5E%281%2F3%29
highlight%28x%29=%28highlight%28y%29-1%29%5E%281%2F3%29
y-1=x%5E3
y=x%5E3%2B1
f%5E%28-1%29%28x%29=x%5E3%2B1