SOLUTION: Does the function f(x) = x^2 have an inverse function? Explain why and illustrate with a sketch of the inverse. Thank you so so much!

Algebra ->  Expressions -> SOLUTION: Does the function f(x) = x^2 have an inverse function? Explain why and illustrate with a sketch of the inverse. Thank you so so much!      Log On


   

Question 1060099: Does the function f(x) = x^2 have an inverse function? Explain why and illustrate with a sketch of the inverse.
Thank you so so much!
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^2 does not have an inverse.

f(4) = 4^2 = 16
f(-4) = (-4)^2 = 16

Two values of x result in the same value of y, which an invertible function cannot do.