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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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