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 :

Question

$\left(-\infty, \frac{1}{4}\right]$

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

$(-1 / 3, \infty)$

$\left(-\infty, \frac{1}{3}\right]$

Solution

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