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# Need clarification

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1. Dear Math helpers,

I need a clarification.
WHat does it mean when you are asked:
find the elements of the domain that get mapped to themselves by the function

i partly understand but i need someone to explain it better in order to fully understand it

thank you
2. Let's pose .
What the function does basically is it takes elements from the set of and plugs them in to output/map as a value in another set.

When you're asked to find elements of the domain that are mapped to themselves, you need to find values of for which .
With , you'd then pose .

Hence there are points and on such that .
3. (Original post by bigmansouf)
Dear Math helpers,

Take a function , for what is ? Solve that equation and you're done. i.e: you want to compute the fixed points of , for a sufficiently crude definition of fixed point.
4. (Original post by Zacken)
Take a function , for what is ? Solve that equation and you're done. i.e: you want to compute the fixed points of , for a sufficiently crude definition of fixed point.
(Original post by MartyO)
Let's pose .
What the function does basically is it takes elements from the set of and plugs them in to output/map as a value in another set.

When you're asked to find elements of the domain that are mapped to themselves, you need to find values of for which .
With , you'd then pose .

Hence there are points and on such that .
thank you to you both more q on the way thanks

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