jee-main 2022 Q71

jee-main · India · session2_29jul_shift2 Composite & Inverse Functions Determine Domain or Range of a Composite Function
The domain of the function $f(x) = \sin^{-1}\left(\frac{x^2 - 3x + 2}{x^2 + 2x + 7}\right)$ is
(1) $[1, \infty)$
(2) $(-1, 2]$
(3) $[-1, \infty)$
(4) $(-\infty, 2]$
The domain of the function $f(x) = \sin^{-1}\left(\frac{x^2 - 3x + 2}{x^2 + 2x + 7}\right)$ is\\
(1) $[1, \infty)$\\
(2) $(-1, 2]$\\
(3) $[-1, \infty)$\\
(4) $(-\infty, 2]$