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If (f:(0,\infty)\to\mathbb{R}), (f(x)=\frac{1}{x}), what is the correct statement about (f)?यदि (f:(0,\infty)\to\mathbb{R}), (f(x)=\frac{1}{x}), तो (f) के लिए सही कथन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी है
Step 1: Assume (f(a)=f(b)). Step 2: (\frac{1}{a}=\frac{1}{b}) with (a,b>0) gives (a=b). Step 3: A reciprocal function gives distinct outputs for distinct inputs in its valid domain.चरण 1: मान लें (f(a)=f(b))। चरण 2: (\frac{1}{a}=\frac{1}{b}) और (a,b>0) होने से (a=b)। चरण 3: व्युत्क्रम फलन अपने वैध क्षेत्र में अलग-अलग आगतों को अलग-अलग निर्गत देता है।
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