यदि (f(x)=\frac{x}{x+2}) और (g(x)=\frac{2}{x}) हों, तो ((f+g)(x)) का प्रांत क्या होगा?
If (f(x)=\frac{x}{x+2}) and (g(x)=\frac{2}{x}), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. \( \mathbb{R}\setminus{-2,0} \)
Concept
The first denominator gives \(x\ne -2\), and the second gives \(x\ne 0\). The domain of the sum keeps both restrictions.
Why this answer is correct
The correct answer is A. \( \mathbb{R}\setminus{-2,0} \). The first denominator gives \(x\ne -2\), and the second gives \(x\ne 0\). The domain of the sum keeps both restrictions.
Exam Tip
पहले हर से \(x\ne -2\) और दूसरे हर से \(x\ne 0\) मिलता है। योग का प्रांत दोनों प्रतिबंधों को साथ रखता है।
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