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What is the domain of (f(x)=\frac{\sqrt{x-3}}{\sqrt{x^2-25}})?फलन (f(x)=\frac{\sqrt{x-3}}{\sqrt{x^2-25}}) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((5,\infty))((5,\infty))
The numerator needs (x-3\ge 0), and the denominator needs (x^2-25>0). Intersecting both conditions gives ((5,\infty)).अंश के लिए (x-3\ge 0) और हर के लिए (x^2-25>0) चाहिए। दोनों शर्तों का प्रतिच्छेद लेने पर ((5,\infty)) मिलता है।
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