यदि (f(x)=\frac{1}{x-2-16}) और (g(x)=x-2+1) हैं, तो (\left\(\frac{g}{f}\right\)(x)) का प्रांत क्या है?
If (f(x)=\frac{1}{x-2-16}) and (g(x)=x-2+1), what is the domain of (\left\(\frac{g}{f}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}\setminus{-4,4}\)
Concept
For (f), \(x^2-16\ne 0\), so \(x\ne -4,4\), and (f(x)\ne 0) always. Hence only (-4) and (4) are excluded.
Why this answer is correct
The correct answer is A. \(\mathbb{R}\setminus{-4,4}\). For (f), \(x^2-16\ne 0\), so \(x\ne -4,4\), and (f(x)\ne 0) always. Hence only (-4) and (4) are excluded.
Exam Tip
(f) के लिए \(x^2-16\ne 0\), इसलिए \(x\ne -4,4\), और (f(x)\ne 0) हमेशा है। इसलिए केवल (-4) और (4) हटेंगे।
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