If 3f(x)+5f(1x)=1x−3 for all non-zero x, then f(x) =
None of these
3f(x)+5f(1x)=1x−3……(1)
Multiplying (1) by 3:
15f(1x)+9f(x)=3x−9……(2)
Replacing x by 1x in (1):
3f(1x)+5f(x)=x−3
Multiplying by 5:
15f(1x)+25f(x)=5x−15……(3)
Solving (2) and (3) :
−16f(x)=3x−5x+6⇒f(x)=116(−3x+5x−6)
∴ (d) none of these