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Mathematics 13 Online
OpenStudy (firejay5):

True or False: A function can't equal its inverse. Explain why.

OpenStudy (anonymous):

http://en.wikipedia.org/wiki/Inverse_function

OpenStudy (firejay5):

@Directrix

OpenStudy (anonymous):

http://www.mathsisfun.com/sets/function-inverse.html

OpenStudy (anonymous):

Those two links should help you.

OpenStudy (firejay5):

I guess True, because only certain values will only work

OpenStudy (perl):

the inverse of y = x is x= y, but that is the same line

OpenStudy (firejay5):

so False

OpenStudy (perl):

yes its false

OpenStudy (perl):

such functions which are equal to their inverse are called involutions. f(f(x)) = x

OpenStudy (perl):

such examples include f(x) = 1/x f(x) = a-x (for any constant a)

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