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f-x-3-x-1-f-x-3-x-1-x-find-f-x-




Question Number 87817 by M±th+et£s last updated on 06/Apr/20
f(((x−3)/(x+1)))+f(((x+3)/(x−1)))=x  find f(x)
$${f}\left(\frac{{x}−\mathrm{3}}{{x}+\mathrm{1}}\right)+{f}\left(\frac{{x}+\mathrm{3}}{{x}−\mathrm{1}}\right)={x} \\ $$$${find}\:{f}\left({x}\right) \\ $$
Commented by M±th+et£s last updated on 06/Apr/20
like 87755 question but here (x−1)
$${like}\:\mathrm{87755}\:{question}\:{but}\:{here}\:\left({x}−\mathrm{1}\right) \\ $$
Commented by john santu last updated on 06/Apr/20
i got ⇒ f(x) = − f (((3−x)/(x+1)))
$$\mathrm{i}\:\mathrm{got}\:\Rightarrow\:\mathrm{f}\left(\mathrm{x}\right)\:=\:−\:\mathrm{f}\:\left(\frac{\mathrm{3}−\mathrm{x}}{\mathrm{x}+\mathrm{1}}\right) \\ $$
Commented by M±th+et£s last updated on 06/Apr/20
its right sir
$${its}\:{right}\:{sir} \\ $$
Answered by john santu last updated on 06/Apr/20
Commented by M±th+et£s last updated on 06/Apr/20
thank you sir but its x−1 not 1−x
$${thank}\:{you}\:{sir}\:{but}\:{its}\:{x}−\mathrm{1}\:{not}\:\mathrm{1}−{x} \\ $$
Commented by john santu last updated on 06/Apr/20
oh ok sir. i′m misread
$$\mathrm{oh}\:\mathrm{ok}\:\mathrm{sir}.\:\mathrm{i}'\mathrm{m}\:\mathrm{misread} \\ $$

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