If f(x) = _a x and F(x) = a^x , then F[f(x)] is - Vidyadip

MCQ

If $f(x) = {\log _a}x$ and $F(x) = {a^x}$, then $F[f(x)]$ is

✓
$f[F(x)]$
B
$f[F(2x)]$
C
$F|f(2x)|$
D
$F[(x)]$

✓

Answer

Correct option: A.

$f[F(x)]$

a
(a) $F\,[f(x)] = F\,({\log _a}x) = {a^{{{\log }_a}x}} = x$

$f\,[F\,(x)] = f({a^x}) = {\log _a}{a^x} = x\,{\log _a}a = x$.

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