Let f(x) = √3-x + √x+2. The range of f(x) is ​

Question

Let f(x) = \(\sqrt{3 -x} +\sqrt{x +2}\). The range of f(x) is

(1) [2√2, √10]

(2) [√5, √10]

(3) [√2, √7]

(4) [√7, √10]

Answer 1

Correct option is (2) [√5, √10]