The domain of the function $c o s^{- 1} (2 x - 1)$ is

(a) $[0, 1]$ (b) $[- 1, 1]$ (c) $(- 1, 1)$ (d) $[0, π]$

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Solution

(a) We have, $f (x) = c o s^{- 1} (2 x - 1)$
$∴ - 1 \leq 2 x - 1 \leq 1 \Rightarrow 0 \leq 2 x \leq 2 \Rightarrow 0 \leq x \leq 1 ∴ x \in [0, 1]$

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