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If (f(x)=\frac{1}{\sqrt{5-x}}), what is the real domain?यदि (f(x)=\frac{1}{\sqrt{5-x}}), तो वास्तविक प्रान्त कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((-\infty,5))((-\infty,5))
Step 1: For the square root, (5-x\ge0) is needed. Step 2: But this square root is in the denominator, so it cannot be zero. Step 3: Thus (5-x>0), meaning (x<5), so the domain is ((-\infty,5)).चरण 1: वर्गमूल के लिए (5-x\ge0) चाहिए। चरण 2: लेकिन यह वर्गमूल हर में है, इसलिए शून्य नहीं हो सकता। चरण 3: अतः (5-x>0), यानी (x<5), इसलिए प्रान्त ((-\infty,5)) है।
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