Let f(x) = 210.x + 1 and g(x)=310.x $-$ 1. If (fog) (x) = x, then x is equal to :

Question

Let f(x) = 2¹⁰.x + 1 and g(x)=3¹⁰.x $-$ 1. If (fog) (x) = x, then x is equal to :

${{{3^{10}} - 1} \over {{3^{10}} - {2^{ - 10}}}}$

${{{2^{10}} - 1} \over {{2^{10}} - {3^{ - 10}}}}$

${{1 - {3^{ - 10}}} \over {{2^{10}} - {3^{ - 10}}}}$

${{1 - {2^{ - 10}}} \over {{3^{10}} - {2^{ - 10}}}}$

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