SOLUTION: Given f(x)=3x^6, find f^-1(x). Then state whether f^-1(x) is a function.

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Question 1069016: Given f(x)=3x^6, find f^-1(x). Then state whether f^-1(x) is a function.
Answer by trsomas23@gmail.com(17) About Me  (Show Source):
You can put this solution on YOUR website!
Let y = f(x)
y = 3x%5E6
x^6 = y%2F3
x = %28y%2F3%29%5E%281%2F6%29 and -%28y%2F3%29%5E%281%2F6%29
f^-1(y) = %28y%2F3%29%5E%281%2F6%29 and -%28y%2F3%29%5E%281%2F6%29
f^-1(x) = %28x%2F3%29%5E%281%2F6%29 and -%28x%2F3%29%5E%281%2F6%29
More than one values of f^-1(x) are possible for the same value of x. Therefore f^-1(x) is not a function.
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