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If \(f(x)=\sqrt{|x|-3}\), what is the domain?यदि \(f(x)=\sqrt{|x|-3}\) हो, तो domain क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(( -\infty,-3]\cup[3,\infty)\)\(( -\infty,-3]\cup[3,\infty)\)
For \(f(x)=\sqrt{|x|-3}\) to be defined, we need
\(|x|-3\ge 0\Rightarrow |x|\ge 3\).
So \(x\le -3\) or \(x\ge 3\). Hence the domain is \(( -\infty,-3]\cup[3,\infty)\).\(f(x)=\sqrt{|x|-3}\) के परिभाषित होने के लिए
\(|x|-3\ge 0\Rightarrow |x|\ge 3\) चाहिए।
इसलिए \(x\le -3\) या \(x\ge 3\)। अतः domain \(( -\infty,-3]\cup[3,\infty)\) है।
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