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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-3x), which pair breaks one-one property?यदि (f:\mathbb{R}\to\mathbb{R}) तथा (f(x)=x^3-3x) हो तो कौन सा युग्म एकैकीपन तोड़ता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (0) and (\sqrt{3})(0) और (\sqrt{3})
Step 1: (f(0)=0). Step 2: (f(\sqrt{3})=(\sqrt{3})^3-3\sqrt{3}=3\sqrt{3}-3\sqrt{3}=0). Step 3: Do not assume every cubic-looking expression is one-one.चरण 1: (f(0)=0) है। चरण 2: (f(\sqrt{3})=(\sqrt{3})^3-3\sqrt{3}=3\sqrt{3}-3\sqrt{3}=0)। चरण 3: घन रूप दिखने मात्र से फलन एकैकी मान लेना ठीक नहीं है।
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