JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

Let

f(x)=2^{10} \cdot x+1

and

g(x)=3^{10} \cdot x-1

. If

(f \circ g)(x)=x

, then

\mathrm{x}

is equal to :

View answer and explanation

Correct option: D

\frac{1-2^{-10}}{3^{10}-2^{-10}}

Option D (

\frac{1-2^{-10}}{3^{10}-2^{-10}}

) is correct because it is the solution to the equation

f(g(x)) = x

after substituting the given functions.

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