यदि (f(x)=\frac{2}{x+3}) और (g(x)=\frac{1}{x-1}) हों, तो ((f+g)(x)) का domain क्या होगा?
If (f(x)=\frac{2}{x+3}) and (g(x)=\frac{1}{x-1}), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}-{-3,1}\)
Concept
Both denominators must be non-zero, so \(x\neq -3\) and \(x\neq 1\). For rational functions, check all denominators.
Why this answer is correct
The correct answer is A. \(\mathbb{R}-{-3,1}\). Both denominators must be non-zero, so \(x\neq -3\) and \(x\neq 1\). For rational functions, check all denominators.
Exam Tip
दोनों denominators non-zero होने चाहिए, इसलिए \(x\neq -3\) और \(x\neq 1\)। rational functions में सभी denominators check करें।
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