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If (f:\mathbb{R}\to\mathbb{R}), (f(x)=5x), what follows from (f(a)=f(b))?यदि (f:\mathbb{R}\to\mathbb{R}), (f(x)=5x), तो (f(a)=f(b)) से क्या मिलेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (a=b)(a=b)
Step 1: Writing (f(a)=f(b)) gives (5a=5b). Step 2: Dividing both sides by (5), we get (a=b). Step 3: This result shows that (f(x)=5x) is one-one.चरण 1: (f(a)=f(b)) लिखने पर (5a=5b) मिलता है। चरण 2: दोनों ओर (5) से भाग देने पर (a=b) आता है। चरण 3: यही परिणाम दिखाता है कि (f(x)=5x) एकैकी है।
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