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Old 2019-01-25, 18:11   #168
VBCurtis's Avatar
Feb 2005
Riverside, CA

11×461 Posts

Originally Posted by S485122 View Post
(For instance it is obvious that x=y3 is not the inverse function of y=x3, since substituting x for your inverse function will give y=(y3)3=x9.)
If you rewrite x = y3 to be in the format of y as a function of x, then the definition you cite applies. You're splitting hairs to say that y = x1/3 is the inverse, but x = y3 is not.

To find an inverse, switch x and y. If you want the inverse in g(x) format, then solve for y after switching x and y.
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