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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
If f(x)=ex  and  g(x)=log⁡ex,f\left( x \right) = {e^x}\;and\;g\left( x \right) = {\log _e}x, then which of the following is true?
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Correct option: B
f{g(x)}=g{f(x)}f\left\{ {g\left( x \right)} \right\} = g\left\{ {f\left( x \right)} \right\}
Option B is correct because f{g(x)} = e^(log_e(x)) = x and g{f(x)} = log_e(e^x) = x, so f{g(x)} = g{f(x)}.

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