Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If f(x) = 
, then (fof) (x) = x, provided that
Text Solution
Verified by ExpertsThe correct answer is:
A
f(x) = 
⇒ fof(x) = 
⇒ fof(x) = 
fof(x) = 
= x
on comparing coefficient of both side (a 2 + bc) x + (ab + bd) = (ac + cd) x 2 + (bc + d 2 ) x
a 2 + bc = bc + d 2 ⇒ a = d or a = – d
and ab + bd = 0 ⇒ b = 0 or a = – d
and ac + cd = 0 ⇒ c = 0 or a = – d
which can be simultaneously true for a = – d
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