Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

Domain of function $f(x)=cos^{-1}\sqrt{2x-1}$ is

Options:

[-1, 1]

$\left(\frac{1}{2}, 1\right]$

$\left[\frac{1}{2}, 1\right]$

$\left[\frac{1}{2}, 1\right)$

Correct Answer:

$\left[\frac{1}{2}, 1\right]$

Explanation:

The correct answer is Option (3) → $\left[\frac{1}{2}, 1\right]$

$f(x)=\cos^{-1}\sqrt{2x-1}$

$0≤2x-1≤1⇒1≤2x≤2$

$\frac{1}{2}≤x≤1⇒x∈\left[\frac{1}{2}, 1\right]$