यदि (f(x)=\sqrt{x+4}) और (g(x)=\frac{1}{x-1}) हों, तो ((f+g)(x)) का प्रांत क्या होगा?
If (f(x)=\sqrt{x+4}) and (g(x)=\frac{1}{x-1}), what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. \( [-4,\infty\)\setminus{1} )
Concept
The root gives \(x\ge -4\), and the denominator gives \(x\ne 1\). Both conditions apply together for the sum.
Why this answer is correct
The correct answer is A. \( [-4,\infty\)\setminus{1} ). The root gives \(x\ge -4\), and the denominator gives \(x\ne 1\). Both conditions apply together for the sum.
Exam Tip
मूल से \(x\ge -4\) और हर से \(x\ne 1\) मिलता है। योग के लिए दोनों शर्तें साथ लागू होती हैं।
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