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What is the range of (f(x)=\sqrt{1-\frac{1}{x^2}})?फलन (f(x)=\sqrt{1-\frac{1}{x^2}}) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( [0,1) )( [0,1) )
On the domain, (\frac{1}{x^2}\in(0,1]), so the inside value lies in ([0,1)). After square root, the range remains ([0,1)).प्रांत में (\frac{1}{x^2}\in(0,1]), इसलिए अंदर का मान ([0,1)) में है। वर्गमूल के बाद भी परिसर ([0,1)) रहता है।
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