यदि (f(x)=\frac{1}{x-1}) और (g(x)=x+3) हैं, तो (\left\(\frac{g}{f}\right\)(x)) का प्रांत क्या है?
If (f(x)=\frac{1}{x-1}) and (g(x)=x+3), what is the domain of (\left\(\frac{g}{f}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. \(x \in \mathbb{R}, x \neq 1\)
Concept
(f(x)) needs \(x \neq 1\), and (f(x)=\frac{1}{x-1}) is never zero. So the only restriction is \(x \neq 1\).
Why this answer is correct
The correct answer is A. \(x \in \mathbb{R}, x \neq 1\). (f(x)) needs \(x \neq 1\), and (f(x)=\frac{1}{x-1}) is never zero. So the only restriction is \(x \neq 1\).
Exam Tip
(f(x)) के लिए \(x \neq 1\) चाहिए और (f(x)=\frac{1}{x-1}) कभी शून्य नहीं होता। इसलिए केवल \(x \neq 1\) प्रतिबंध है।
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