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Q.

If $f : (0, \infty) \to R$ defined by $f (x) = \log_{10} x$ then $f^{- 1} (x)$ is

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a

\log_{x} 10

b

x^{10}

c

10^{x}

d

f (x)

answer is C.

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Detailed Solution

\log_{10} x = y

$x = 10^{y} = f^{- 1} (y)$

$f^{- 1} (x) = 10^{x}$

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