MHT CET · Maths · Functions
Domain of the real valued function \(f(x)=\frac{x+2}{9-x^{2}}\) is
- A \(-3 \leq x \leq 3\)
- B \(R-\{-3,3\}\)
- C \(R\)
- D \(R-\{3\}\)
Answer & Solution
Correct Answer
(B) \(R-\{-3,3\}\)
Step-by-step Solution
Detailed explanation
\(f(x)=\frac{x+2}{9-x^{2}}\) is not defined if \(9-x^{2}=0 \Rightarrow x=\pm 3\)
\(\therefore\) Required domain \(=\mathrm{R}-\{\pm 3\}\)
\(\therefore\) Required domain \(=\mathrm{R}-\{\pm 3\}\)
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