Questions
, then f (x) =
a
1143x+5x−6
b
114−3x+5x−6
c
114−3x-5x−6
d
None of these
detailed solution
Correct option is B
We have,3f(x)+5f1x=1x−3,∀x(≠0)∈R .......(1) ⇒3f1x+5f(x)=x−3 .......(2) Replacing x by 1xMultiplying Eq. (1) by 3 and (2) by 5 and subtracting, we get9f(x)−25f(x)=3x−9−(5x−15)⇒−14f(x)=3x−5x+6⇒f(x)=114−3x+5x−6,∀x(≠0)∈RTalk to our academic expert!
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