The domain of ^ -1 (2 x-1) - Vidyadip

MCQ

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

✓
$[0,1]$
B
$[-1,1)$
C
$(-1,1]$
D
$[0, \pi]$

✓

Answer

Correct option: A.

$[0,1]$

(A) -
$\cos ^{-1}(2 x-1)$ will be defined if $-1 \leq 2 x-1 \leq 1$$
\begin{array}{l}
\Rightarrow 0 \leq 2 x \leq 2 \\
\Rightarrow 0 \leq x \leq 1 \\
\Rightarrow x \in[0,1]
\end{array}
$
Hence domain of $\cos ^{-1}(2 x-1)[0,1]$
Hence correct option is (A)

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