Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If f(x) = 
and g(x) = 
are inverse to each other then find all possible values of α .
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
α = 2
Sol. Clearly g(g(x)) = 
= 
= x
hence f(x) = g(x) so , α – 1 = 1 ⇒ α = 2 & when α = 2
– α 2 x + α + 3x – 1 = –4x + 2 + 3x – 1. hence α = 2
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