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Domain

The domain of...

Question

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

A

[0, 1]

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B

[- 1, 1]

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C

(- 1, 1)

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D

[0, π]

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Solution

The correct option is A $[0, 1]$
$f (x) = {cos}^{- 1} (2 x - 1)$
$∵ - 1 \leq 2 x - 1 \leq 1$
$\Rightarrow 0 \leq 2 x \leq 2$
$\Rightarrow 0 \leq x \leq 1$
$∴ x \in [0, 1]$

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