SOLUTION: Find the inverse of the function. f(x)=4x^3-1

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Question 183238: Find the inverse of the function.
f(x)=4x^3-1
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=4x^3-1
y=4x^3-1 sustitute y for f(x)
x=4y^3-1 Switch x and y
4y^3=x+1 solve for y
y^3=(x+1)/4
y=[(x+1)/4]^(1/3) Take the cube root of each side.
f^-1(x)=[(x+1)/4]^(1/3)
.
Ed