jee-main 2023 Q77

jee-main · India · session1_30jan_shift2 Composite & Inverse Functions Determine Domain or Range of a Composite Function
The range of the function $f(x) = \sqrt{3 - x} + \sqrt{2 + x}$ is
(1) $[\sqrt{5}, \sqrt{10}]$
(2) $[2\sqrt{2}, \sqrt{11}]$
(3) $[\sqrt{5}, \sqrt{13}]$
(4) $[\sqrt{2}, \sqrt{7}]$
The range of the function $f(x) = \sqrt{3 - x} + \sqrt{2 + x}$ is\\
(1) $[\sqrt{5}, \sqrt{10}]$\\
(2) $[2\sqrt{2}, \sqrt{11}]$\\
(3) $[\sqrt{5}, \sqrt{13}]$\\
(4) $[\sqrt{2}, \sqrt{7}]$