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If (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x^3+1), what conclusion follows from (f(a)=f(b)) in a one-one test?यदि (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x^3+1), तो एकैकी जाँच में (f(a)=f(b)) से क्या निष्कर्ष निकलेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (a=b)(a=b)
Step 1: Write (f(a)=f(b)). Step 2: (2a^3+1=2b^3+1) gives (a^3=b^3), so (a=b). Step 3: This is the safest method to prove one-one in written exams.चरण 1: (f(a)=f(b)) लिखें। चरण 2: (2a^3+1=2b^3+1) से (a^3=b^3), इसलिए (a=b)। चरण 3: यह तरीका लिखित परीक्षा में एकैकी सिद्ध करने का सबसे सुरक्षित तरीका है।
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