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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=5-2x), which statement is correct for (f)?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=5-2x), तो (f) के लिए कौन-सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: One-one because the coefficient of (x) is non-zeroएकैकी क्योंकि (x) का गुणांक शून्य नहीं है
Step 1: Let (f(a)=f(b)). Step 2: From (5-2a=5-2b), we get (a=b). Step 3: A negative slope is not a problem; a linear function is one-one if its slope is non-zero.चरण 1: मान लें (f(a)=f(b))। चरण 2: (5-2a=5-2b) से (a=b) प्राप्त होता है। चरण 3: ऋणात्मक ढाल समस्या नहीं है यदि ढाल शून्य नहीं है तो रैखिक फलन एकैकी होता है।
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