The domain of the function ^ -1 (2 x-1) is - Vidyadip

Question

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

✓

Answer

$(c) [0,1]$
Explanation: We have $f(x)=\cos ^{-1}(2 x-1)$
Since, $-1 \leq 2 x-1 \leq 1$
$\Rightarrow 0 \leq 2 x \leq 2$
$\Rightarrow 0 \leq x \leq 1$
$\therefore x \in[0,1]$

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