Class 11 domain-all-real MCQ Questions

यदि (f(x)=x^-2+1) और (g(x)=\frac{1}{x^-2+1}) हैं तो ((fg)(x)) का प्रांत क्या है?

Explanation opens after your attempt

Correct Answer

A. \(\mathbb{R})

Step 1

Since \(x^2+1>0\) for all real (x), the denominator is never zero. Therefore the domain is \(\mathbb{R}\).

Step 2

The correct answer is A. \(\mathbb{R}). Since \(x^2+1>0\) for all real (x), the denominator is never zero. Therefore the domain is \(\mathbb{R}\).

Step 3

क्योंकि \(x^2+1>0\) सभी वास्तविक (x) के लिए है, हर कभी शून्य नहीं होता। इसलिए प्रांत \(\mathbb{R}\) है।