यदि (f(x)=\frac{x+2}{x-2}) और (g(x)=\frac{x-2}{x+2}) हैं, तो (\left\(\frac{f}{g}\right\)(x)) का प्रांत क्या है?
If (f(x)=\frac{x+2}{x-2}) and (g(x)=\frac{x-2}{x+2}), what is the domain of (\left\(\frac{f}{g}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}\setminus{-2,2}\)
Concept
In \(\frac{f}{g}\), both (f) and (g) must be defined and (g(x)\ne 0); this excludes \(x=\pm2\). In a quotient, zero of the second function is also forbidden.
Why this answer is correct
The correct answer is A. \(\mathbb{R}\setminus{-2,2}\). In \(\frac{f}{g}\), both (f) and (g) must be defined and (g(x)\ne 0); this excludes \(x=\pm2\). In a quotient, zero of the second function is also forbidden.
Exam Tip
\(\frac{f}{g}\) में (f) और (g) दोनों परिभाषित हों और (g(x)\ne 0); इससे \(x=\pm2\) हटते हैं। भागफल में दूसरे फलन का शून्य भी निषिद्ध होता है।
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