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JEE Math Practice 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 :

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

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