यदि (f(x)=\sqrt{x}) और (g(x)=x-2) हों, तो ((fg)(x)) का domain क्या है?
If (f(x)=\sqrt{x}) and (g(x)=x-2), what is the domain of ((fg)(x))?
Explanation opens after your attempt
A. \([0,\infty\))
Concept
\(\sqrt{x}\) needs \(x\geq 0\), and (g(x)) is defined for all real (x). Therefore, the product domain is \([0,\infty\)).
Why this answer is correct
The correct answer is A. \([0,\infty\)). \(\sqrt{x}\) needs \(x\geq 0\), and (g(x)) is defined for all real (x). Therefore, the product domain is \([0,\infty\)).
Exam Tip
\(\sqrt{x}\) के लिए \(x\geq 0\) चाहिए और (g(x)) सभी real (x) पर defined है। इसलिए product का domain \([0,\infty\)) है।
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