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JEE Math Practice Question

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

  1. A.$${{{3^{10}} - 1} \over {{3^{10}} - {2^{ - 10}}}}$$
  2. B.$${{{2^{10}} - 1} \over {{2^{10}} - {3^{ - 10}}}}$$
  3. C.$${{1 - {3^{ - 10}}} \over {{2^{10}} - {3^{ - 10}}}}$$
  4. D.$${{1 - {2^{ - 10}}} \over {{3^{10}} - {2^{ - 10}}}}$$

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