Question

Considering only the principal values of the inverse trigonometric functions, the domain of the function $f(x)=\cos ^{-1}\left(\frac{x^2-4 x+2}{x^2+3}\right)$ is :

• A. $\left(-\infty, \frac{1}{4}\right]$
• B. $\left[-\frac{1}{4}, \infty\right)$
• C. $\left(-\frac{1}{3}, \infty\right)$
• D. $\left(-\infty, \frac{1}{3}\right]$

Answer 1

Answer: (B)

$\left[-\frac{1}{4}, \infty\right)$

Answer 2

The correct option is (B): $\left[-\frac{1}{4}, \infty\right)$