1) Consider the example y=f(x)=x(adsbygoogle = window.adsbygoogle || []).push({}); ^{3}

My statistics textbook say x=f^{-1}(y)=y^{1/3}is the inverse of f

On the other hand, my calculus textbook says y=x^{1/3}is the inverse of f

So I am confused...it looks like the idea of inverse is used inconsistently. (When you plot both functions on the xy-plane, you will certainly see two different graphs.)

Which one is the correct one according to the precise definition of inverse?

2) I don't get the difference between the "inverse" of f and the "inverse image" or "premiage". Can somebody explain?

Thank you!

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# Inverse & preimage

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