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

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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)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Switch x and y.


Cube both sides.


Add 6 to both sides.


So the inverse function is

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