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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2x+1), what type of function is (f)?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=2x+1) हो तो (f) कैसा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-oneएकैकी
Step 1: Assume (f(a)=f(b)). Step 2: (2a+1=2b+1) gives (a=b). Step 3: A linear function (ax+b) is one-one when (a\neq0).चरण 1: मान लें (f(a)=f(b))। चरण 2: (2a+1=2b+1) से (a=b) मिलता है। चरण 3: रैखिक फलन (ax+b) में (a\neq0) हो तो फलन एकैकी होता है।
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