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What is the domain of (f(x)=\frac{\sqrt{x+2}}{x-3})?फलन (f(x)=\frac{\sqrt{x+2}}{x-3}) का डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([-2,\infty)\setminus{3})([-2,\infty)\setminus{3})
The square root needs (x+2\ge 0) and the denominator needs (x-3\ne 0). So (x\ge -2) and (x\ne 3); in exams take the intersection of all conditions.वर्गमूल के लिए (x+2\ge 0) और हर के लिए (x-3\ne 0) चाहिए। इसलिए (x\ge -2) और (x\ne 3); परीक्षा में सभी शर्तों का प्रतिच्छेद लें।
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