Inverse functions

Forum for the GRE subject test in mathematics.
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Inverse functions

Post by mathQ » Fri Apr 02, 2010 4:06 pm

can a inverse function be symmetric about X-axis and origin ?

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Joined: Tue Apr 06, 2010 4:54 am

Re: Inverse functions

Post by labyrinth9 » Tue Apr 06, 2010 5:35 am

An invertible function?

I'm not sure I understand the question...

If you are asking if an inverse of some function can still be odd, yes. f(x)=x^3; f^-1(x)=x^(1/3) are odd...

In fact, since f(-x)=-f(x). it would imply that all invertible odd functions are also odd themselves. This is also justifiable by the graphs.

- Jason

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