class 12 maths inverse trigonometric functions

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

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📘 Inverse Trigonometric Functions NCERT,Ex.2.3,Q.24,Page.38 MCQ 1 mark

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

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We have, $f(x) = {\cos ^{ - 1}}(2x - 1)$
$therefore, - 1 \le 2x - 1 \le 1$

$\Rightarrow$ $0 \le 2x \le 2$

$\Rightarrow$ $0 \le x \le 1$

$therefore, x \in [0,1]$

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