यदि (f(x)=\frac{x+1}{x-3}) और (g(x)=x-3) हैं, तो (\left\(\frac{f}{g}\right\)(x)) का प्रांत क्या है?
If (f(x)=\frac{x+1}{x-3}) and (g(x)=x-3), what is the domain of (\left\(\frac{f}{g}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}\setminus{3}\)
Concept
For (f), \(x\ne 3\), and (g(x)\ne 0) in the quotient also gives \(x\ne 3\). Hence only (3) is excluded.
Why this answer is correct
The correct answer is A. \(\mathbb{R}\setminus{3}\). For (f), \(x\ne 3\), and (g(x)\ne 0) in the quotient also gives \(x\ne 3\). Hence only (3) is excluded.
Exam Tip
(f) के लिए \(x\ne 3\) और भागफल में (g(x)\ne 0) भी \(x\ne 3\) देता है। इसलिए केवल (3) हटेगा।
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