SOLUTION: find the inverse of the one-to-one function f(x)=(3sqrtx-6) a)f^1(x)=x^3+6 b)f^1(x)=x+6 c)f^1(x)=1/x^3+6 d)f^1(x)=x^3+36

Algebra ->  Equations -> SOLUTION: find the inverse of the one-to-one function f(x)=(3sqrtx-6) a)f^1(x)=x^3+6 b)f^1(x)=x+6 c)f^1(x)=1/x^3+6 d)f^1(x)=x^3+36      Log On


   

Question 147737: find the inverse of the one-to-one function f(x)=(3sqrtx-6)
a)f^1(x)=x^3+6
b)f^1(x)=x+6
c)f^1(x)=1/x^3+6
d)f^1(x)=x^3+36
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=root%283%2Cx-6%29 Start with the given equation.


x=root%283%2Cy-6%29 Switch x and y.


x%5E3=y-6 Cube both sides.


x%5E3%2B6=y Add 6 to both sides.


So the inverse function is