Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

The domain of $f(x)=\cos^{-1}7x$ is:

Options:

$\left[-\frac{1}{7},\frac{1}{7}\right]$

$[-7,7]$

$[ 0,7]$

$[-1, 1]$

Correct Answer:

$\left[-\frac{1}{7},\frac{1}{7}\right]$

Explanation:

The correct answer is Option (1) → $\left[-\frac{1}{7},\frac{1}{7}\right]$

Domain of $f(x)=\cos^{-1}x$ is $[-1,1]$

∴ Domain of $\cos^{-1}7x$ = $\left[-\frac{1}{7},\frac{1}{7}\right]$