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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=(k+1)x+4), when will (f) be one-one?यदि (f:\mathbb{R}\to\mathbb{R}) तथा (f(x)=(k+1)x+4) है, तो (f) एक-एक कब होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: When (k\neq-1)जब (k\neq-1)
Step 1: A linear function (ax+b) is one-one when (a\neq0). Step 2: Here the coefficient of (x) is (k+1). Step 3: Hence (k+1\neq0), so (k\neq-1).चरण 1: रैखिक फलन (ax+b) एक-एक तब होता है जब (a\neq0)। चरण 2: यहां (x) का गुणांक (k+1) है। चरण 3: इसलिए (k+1\neq0), अर्थात (k\neq-1) होना चाहिए।
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