Target Exam

CUET

Subject

Section B1

Chapter

Inverse Trigonometric Functions

Question:

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

Options:

$[0, 1]$

$[-1, 1]$

$(-1, 1)$

$[0, \pi]$

Correct Answer:

$[0, 1]$

Explanation:

The correct answer is Option (1) → $[0, 1]$ ##

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

$∵ -1 \le 2x - 1 \le 1 \Rightarrow 0 \le 2x \le 2$

$\Rightarrow 0 \le x \le 1$

$∴x \in [0, 1]$