What is the domain of (f(x)=\sqrt{1-\frac{1}{x^2}})?फलन (f(x)=\sqrt{1-\frac{1}{x^2}}) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( (-\infty,-1]\cup[1,\infty) )( (-\infty,-1]\cup[1,\infty) )
The square root needs (1-\frac{1}{x^2}\ge 0) and (x\ne 0). This gives (x^2\ge 1), so (|x|\ge 1).वर्गमूल के लिए (1-\frac{1}{x^2}\ge 0) और (x\ne 0) चाहिए। इससे (x^2\ge 1), यानी (|x|\ge 1) मिलता है।
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