Menu Close

f-x-f-x-x-f-5-1-f-1-




Question Number 190618 by mustafazaheen last updated on 07/Apr/23
f(x−f(x))=x  ,f(5)=−1  f(−1)=?
$$\mathrm{f}\left(\mathrm{x}−\mathrm{f}\left(\mathrm{x}\right)\right)=\mathrm{x}\:\:,\mathrm{f}\left(\mathrm{5}\right)=−\mathrm{1} \\ $$$$\mathrm{f}\left(−\mathrm{1}\right)=? \\ $$
Answered by aba last updated on 07/Apr/23
f(5−f(5))=5⇒ f(4)=5  f(4−f(4))=4⇒f(−1)=4
$$\mathrm{f}\left(\mathrm{5}−\mathrm{f}\left(\mathrm{5}\right)\right)=\mathrm{5}\Rightarrow\:\mathrm{f}\left(\mathrm{4}\right)=\mathrm{5} \\ $$$$\mathrm{f}\left(\mathrm{4}−\mathrm{f}\left(\mathrm{4}\right)\right)=\mathrm{4}\Rightarrow\mathrm{f}\left(−\mathrm{1}\right)=\mathrm{4} \\ $$$$\:\:\:\:\: \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *