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Which of the following functions from ([0,\infty)) to (\mathbb{R}) is one-one?निम्न में से कौन-सा फलन ([0,\infty)) से (\mathbb{R}) पर एकैकी है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (f(x)=x^2)(f(x)=x^2)
Step 1: On ([0,\infty)), (x^2) increases continuously. Step 2: In this domain, two different non-negative numbers will not have the same square. Step 3: One-one nature can change with the domain, so read the domain carefully.चरण 1: ([0,\infty)) पर (x^2) लगातार बढ़ता है। चरण 2: इस क्षेत्र में दो अलग गैर-ऋणात्मक संख्याएँ समान वर्ग नहीं देंगी। चरण 3: क्षेत्र बदलने से एकैकीता बदल सकती है इसलिए क्षेत्र ध्यान से देखें।
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