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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=3x-5), what follows from (f(a)=f(b))?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=3x-5) हो तो (f(a)=f(b)) से क्या मिलेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (a=b)(a=b)
Step 1: From (f(a)=f(b)), we get (3a-5=3b-5). Step 2: Simplifying gives (3a=3b), hence (a=b). Step 3: The condition (f(a)=f(b)\Rightarrow a=b) is the main test for one-one.चरण 1: (f(a)=f(b)) रखने पर (3a-5=3b-5) मिलता है। चरण 2: सरल करने पर (3a=3b) और फिर (a=b)। चरण 3: (f(a)=f(b)\Rightarrow a=b) एकैकी फलन की मुख्य जाँच है।
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