यदि (f(x)=\sqrt{x+2}) और (g(x)=\frac{1}{x-1}) हैं, तो ((fg)(x)) का प्रांत क्या है?
If (f(x)=\sqrt{x+2}) and (g(x)=\frac{1}{x-1}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \([-2,\infty\)\setminus{1})
Concept
The square root needs \(x\ge -2\), and the denominator needs \(x\ne 1\). In a product, both conditions apply together.
Why this answer is correct
The correct answer is A. \([-2,\infty\)\setminus{1}). The square root needs \(x\ge -2\), and the denominator needs \(x\ne 1\). In a product, both conditions apply together.
Exam Tip
वर्गमूल के लिए \(x\ge -2\) और हर के लिए \(x\ne 1\) चाहिए। गुणन में दोनों शर्तें साथ लगती हैं।
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