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Why is (f:R\to R), (f(x)=3x+1), one-one?फलन (f:R\to R), (f(x)=3x+1) एक-एकी क्यों है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Because (f(a)=f(b)) gives (a=b)क्योंकि (f(a)=f(b)) से (a=b) मिलता है
Step 1: Assume (f(a)=f(b)). Step 2: Then (3a+1=3b+1), so (3a=3b) and (a=b). Step 3: Hence different inputs have different images, so the function is one-one.चरण 1: मान लें (f(a)=f(b))। चरण 2: तब (3a+1=3b+1), इसलिए (3a=3b) और (a=b)। चरण 3: इसलिए अलग आगतों की छवियाँ अलग होंगी और फलन एक-एकी है।
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