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Inverse Trigonometric Functions question

2022 · 28 Jul · Shift 1 · Q24

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JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 28 Jul · Shift 1 · Q24

Inverse Trigonometric Functions question

2022 · 28 Jul · Shift 1 · Q24

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

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

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