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

$\begin{array}{1 1}[0,1] \\ [-1.1] \\ (-1,1) \\ [0, \pi] \end{array}$

Toolbox:
• Domain of $cos^{-1}x$ is [-1,1]
Ans (A) [0, 1]
By taking 2x-1 in the place of x we get
$\Rightarrow -1 \leq 2x -1 \leq 1$
$\Rightarrow 0 \leq 2x \leq 2$
$\Rightarrow 0 \leq x \leq 1$
$\Rightarrow\: The\: Domain\: is [0,1]$
edited Mar 8, 2013