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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Application +4 | -1
If f(x)=log⁡axf(x)=\log _a x and F(x)=axF(x)=a^x, then F[f(x)]F[f(x)] is
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Correct option: A
f[F(x)]f[F(x)]
Option A (f[F(x)]f[F(x)]) is correct because F[f(x)]=alog⁡ax=xF[f(x)] = a^{\log_a x} = x and f[F(x)]=log⁡aax=xf[F(x)] = \log_a a^x = x, so F[f(x)]=f[F(x)]F[f(x)] = f[F(x)].

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