Lets-say-y-f-x-x-R-y-R-if-a-constent-Does-there-exist-f-a-a-for-any-function-y-f-x-Please-prove-disprove-

Question Number 4946 by FilupSmith last updated on 25/Mar/16

Lets say y = f (x) : \forall x \in R, y \in R

if a = constent

Does there exist f (a) = a

for any function y = f (x) ?

Please prove / disprove

Commented by prakash jain last updated on 25/Mar/16

f (x) = x \Rightarrow f (a) = a