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  4. The domain of y= cos -1(1-2 x) is

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Q. The domain of $y=\cos ^{-1}(1-2 x)$ is

Inverse Trigonometric Functions

Solution:

The function is defined if $-1 \leq 1-2 x \leq 1 $
$\Leftrightarrow$ $-2 \leq-2 x \leq 0 $
$\Leftrightarrow 0 \leq x \leq 1 .$