SOLUTION: Suppose f(x) =x^2 over the domain of f, then f^-1(x)=?

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Question 975188: Suppose f(x) =x^2 over the domain of f, then f^-1(x)=?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if f%28x%29=x%5E2, then inverse f%5E%28-1%29%28x%29 will be:
f%28x%29=x%5E2.......recall that f%28x%29=y, so we have
y=x%5E2...........swap x and y
x=y%5E2.......solve for y
y=+sqrt%28x%29, your inverse f%5E%28-1%29%28x%29
f%5E%28-1%29%28x%29+=+sqrt%28x%29

so, your answer is: (A) f%5E%28-1%29%28x%29+=+sqrt%28x%29