Let f(x)=2^ 14 x+1 and g(x)=3^ 11 x-1 . If (f a g)(x)=x , then x is equal to:

Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions

1. \(\frac{2^{10}-1}{2^{10}-3^{-10}}\)
2. \(\frac{1-2^{-10}}{3^{10}-2^{-10}}\)
3. \(\frac{3^{18}-1}{3^{11}-2^{-11}}\)
4. \(\frac{1-3^{-14}}{2^{14}-3^{-11}}\)

Answer

(D) 1-3^ -14 2^ 14 -3^ -11

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