KCET · Maths · Indefinite Integration
The range of the function \( f(x)=\sqrt{9-x^{2}} \) is
- A \( (0,3) \)
- B \( [0,3] \)
- C \( (0,3] \)
- D \([0,3) \)
Answer & Solution
Correct Answer
(B) \( [0,3] \)
Step-by-step Solution
Detailed explanation
Given that, \(f(x)=\sqrt{9-x^{2}}\)
\(x^{2}=9 \Rightarrow x \pm 3\)
So, domain is given by \(x \in[-.3,3]\)
Therefore, range of \(f(x) \in[0,3]\)
\(x^{2}=9 \Rightarrow x \pm 3\)
So, domain is given by \(x \in[-.3,3]\)
Therefore, range of \(f(x) \in[0,3]\)
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