Considering only the principal values of the inverse trigonometric functions, the domain of the function fx=cos-1x2-4x+2x2+3 is

Question

Considering only the principal values of the inverse trigonometric functions, the domain of the function

f (x) = \cos^{- 1} (\frac{x^{2} - 4 x + 2}{x^{2} + 3})

(- \infty, \frac{1}{4}]

[- \frac{1}{4}, \infty)

(- \frac{1}{3}, \infty)

(- \infty, \frac{1}{3}]

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