JEE MAIN - Mathematics Hindi (2017 - 8th April Morning Slot - No. 7)

माना $$f(x)=2^{10} \cdot x+1$$ तथा $$g(x)=3^{10} \cdot x-1$$ । यदि $$(f \circ g)(x)=x$$ है, तो $$x$$ बराबर है :
$$\frac{3^{10}-1}{3^{10}-2^{-10}}$$
$$\frac{2^{10}-1}{2^{10}-3^{-10}}$$
$$\frac{1-3^{-10}}{2^{10}-3^{-10}}$$
$$\frac{1-2^{-10}}{3^{10}-2^{-10}}$$

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