JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

Let

f: R-\left\{\frac{\alpha}{6}\right\} \rightarrow R

be definced by

f(x)=\frac{5 x+3}{6 x-\alpha}

. Then the value of

\alpha

for which

(f o f)(x)=x

, for all

x \in R-\left\{\frac{\alpha}{6}\right\}

, is :

View answer and explanation

Correct option: D

Option D (5) is correct because when α=5, the composite function (f o f)(x) simplifies to x, satisfying the given condition for all x in the domain.

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