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If (f:\mathbb{R}\to\mathbb{R}), (f(x)=7-2x), what is the one-one nature of (f)?यदि (f:\mathbb{R}\to\mathbb{R}), (f(x)=7-2x), तो (f) की एकैकी प्रकृति क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी है
Step 1: Assume (f(a)=f(b)). Step 2: (7-2a=7-2b) gives (a=b). Step 3: A decreasing linear function is also one-one because it gives distinct outputs for distinct inputs.चरण 1: (f(a)=f(b)) मानें। चरण 2: (7-2a=7-2b) से (a=b) मिलता है। चरण 3: घटता रैखिक फलन भी एकैकी होता है, क्योंकि वह हर आगत को अलग निर्गत देता है।
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