यदि (f(x)=\sqrt{x}) और (g(x)=\sqrt{x}) हैं, तो ((fg)(x)) और उसका प्रांत क्या है?
If (f(x)=\sqrt{x}) and (g(x)=\sqrt{x}), what are ((fg)(x)) and its domain?
Explanation opens after your attempt
Correct Answer
A. \(x, x \geq 0\)
Concept
((fg)(x)=\sqrt{x}\cdot\sqrt{x}=x), but both square roots require \(x \geq 0\). The simplified form does not change the original domain.
Why this answer is correct
The correct answer is A. \(x, x \geq 0\). ((fg)(x)=\sqrt{x}\cdot\sqrt{x}=x), but both square roots require \(x \geq 0\). The simplified form does not change the original domain.
Exam Tip
((fg)(x)=\sqrt{x}\cdot\sqrt{x}=x), लेकिन दोनों वर्गमूलों के लिए \(x \geq 0\)। सरल रूप से प्रांत नहीं बदलता।
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