यदि (f(x)=\frac{1}{x-2-9}) और (g(x)=x-2) हैं, तो (\left\(\frac{g}{f}\right\)(x)) का प्रांत क्या है?
If (f(x)=\frac{1}{x-2-9}) and (g(x)=x-2), what is the domain of (\left\(\frac{g}{f}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}\setminus{-3,3}\)
Concept
For (f), \(x^2-9\ne 0\), so \(x\ne \pm3\), and (f(x)) is never (0). Hence only (-3) and (3) are excluded.
Why this answer is correct
The correct answer is A. \(\mathbb{R}\setminus{-3,3}\). For (f), \(x^2-9\ne 0\), so \(x\ne \pm3\), and (f(x)) is never (0). Hence only (-3) and (3) are excluded.
Exam Tip
(f) के लिए \(x^2-9\ne 0\), इसलिए \(x\ne \pm3\), और (f(x)) कभी (0) नहीं होता। अतः केवल (-3) और (3) हटेंगे।
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