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If (f:(0,\infty)\to\mathbb{R}) and (f(x)=\frac{2}{x}), what type of function is (f)?यदि (f:(0,\infty)\to\mathbb{R}) और (f(x)=\frac{2}{x}) हो तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी
Step 1: From (f(a)=f(b)), we get (\frac{2}{a}=\frac{2}{b}). Step 2: Since (a,b>0), this gives (a=b). Step 3: A reciprocal-type rule is one-one on its proper domain.चरण 1: (f(a)=f(b)) से (\frac{2}{a}=\frac{2}{b}) मिलता है। चरण 2: (a,b>0) होने से (a=b) निष्कर्ष निकलता है। चरण 3: व्युत्क्रम जैसा नियम अपने उचित प्रांत पर एकैकी होता है।
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