यदि (f(x)=\sqrt{4-x}) और (g(x)=\frac{1}{x}) हों, तो ((f+g)(x)) का डोमेन क्या है?
If (f(x)=\sqrt{4-x}) and (g(x)=\frac{1}{x}), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. (\(-\infty,4]-{0}\)
Concept
The square root needs \(4-x\ge 0\), i.e. \(x\le 4\), and the denominator needs \(x\ne 0\). Take both conditions together.
Why this answer is correct
The correct answer is A. (\(-\infty,4]-{0}\). The square root needs \(4-x\ge 0\), i.e. \(x\le 4\), and the denominator needs \(x\ne 0\). Take both conditions together.
Exam Tip
वर्गमूल के लिए \(4-x\ge 0\), यानी \(x\le 4\), और हर के लिए \(x\ne 0\)। दोनों शर्तें साथ लें।
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