Hello,

I have a following problem to solve:

For some function and I have to find something, that would equal .

I managed to show that and I have a counterexample that disproves . Yet I have no idea what could equal to.

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- Dec 4th 2012, 10:41 AMMachinePL1993Equality of functions
Hello,

I have a following problem to solve:

For some function and I have to find something, that would equal .

I managed to show that and I have a counterexample that disproves . Yet I have no idea what could equal to. - Dec 4th 2012, 10:47 AMLinkRe: Equality of functions
it's always included in C, that's all we can say. Exemple f R-R x|-> x², and C is [-4,4], we have f(f^-1(C))=[0,4] =/= C

- Dec 4th 2012, 10:49 AMMachinePL1993Re: Equality of functions
Could I just write ? Because equals the elements of C that can be reached from X.

- Dec 4th 2012, 10:56 AMPlatoRe: Equality of functions
- Dec 4th 2012, 10:57 AMLinkRe: Equality of functions
Yes you can write that.