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What is the domain of the function \(f(x)=\sqrt{x+2}\)?फलन \(f(x)=\sqrt{x+2}\) का डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x\ge -2\)\(x\ge -2\)
For a real-valued square root, the radicand must be non-negative. Thus, \(x+2\ge 0\), which gives \(x\ge -2\). The domain is therefore \([-2,\infty)\).वास्तविक वर्गमूल के लिए उसके अंदर का व्यंजक ऋणात्मक नहीं होना चाहिए। इसलिए \(x+2\ge 0\), जिससे \(x\ge -2\) मिलता है। अतः डोमेन \([-2,\infty)\) है।
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