SOLUTION: If f(x)=4x^3-11, then what is the formula for f^-1(x)?

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Question 674954: If f(x)=4x^3-11, then what is the formula for f^-1(x)?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 4x%5E3-11
...
To find the inverse, f%5E-1(x), solve for x and substitute the x variable for y in the final equation.
y = 4x%5E3-11
y + 11 = 4x%5E3
%28y%2B11%29%2F4+=+x%5E3
root%283%2C%28%28y%2B11%29%2F4%29%29+=+root%283%2Cx%5E3%29
root%283%2C%28%28y%2B11%29%2F4%29%29+=+x
...
f%5E-1(x) = root%283%2C%28%28x%2B11%29%2F4%29%29
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