The domain of $f (x) = {tan}^{- 1} (5 x)$ is

(- \infty, \infty)

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(0, \infty)

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(- \infty, 0)

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(- \frac{1}{5}, \frac{1}{5})

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Solution

The correct option is C $(- \infty, \infty)$
${tan}^{- 1} x$ is defined for all $x$ as range of $tan x$ is from $(- \infty, \infty)$ .
$∴$ domain of ${tan}^{- 1} 5 x$ is $(- \infty, \infty)$ .
Hence, option 'A' is correct.

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