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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-5|), which pair shows that (f) is not one-one?यदि (f:\mathbb{R}\to\mathbb{R}) तथा (f(x)=|x-5|) हो तो कौन सा युग्म (f) को एकैकी नहीं दिखाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (4) and (6)(4) और (6)
Step 1: (f(4)=|4-5|=1). Step 2: (f(6)=|6-5|=1), while (4\neq6). Step 3: In a modulus function, inputs at equal distance from the center may give the same output.चरण 1: (f(4)=|4-5|=1) है। चरण 2: (f(6)=|6-5|=1) है जबकि (4\neq6)। चरण 3: मापांक फलन में केंद्र से समान दूरी वाले दो आगत समान मान दे सकते हैं।
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