AP EAMCET · Maths · Functions
The domain of the real valued function \(f(x)=\sqrt{2+x}+\sqrt{3-x}\) is
- A \((-2,3)\)
- B \([-2,3)\)
- C \((-2,3]\)
- D \([-2,3]\)
Answer & Solution
Correct Answer
(D) \([-2,3]\)
Step-by-step Solution
Detailed explanation
\(2+x \geq 0 \Rightarrow x \geq-2\) \(\begin{aligned} & 3-x \geq 0 \Rightarrow x \leq 3 \\ & -2 \leq x \leq 3 \\ & x \in[-2,3]\end{aligned}\)
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