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If (f:\mathbb{R}\to\mathbb{R}) satisfies (f(x+1)=f(x)+2) and (f(0)=3), what is the value of (f(2))?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x+1)=f(x)+2) तथा (f(0)=3), तो (f(2)) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (7)(7)
Step 1: Put (x=0) to get (f(1)=f(0)+2=5). Step 2: Put (x=1) to get (f(2)=f(1)+2=7). Step 3: In functional equations, move step by step from the given value.चरण 1: (x=0) रखने पर (f(1)=f(0)+2=5)। चरण 2: (x=1) रखने पर (f(2)=f(1)+2=7)। चरण 3: ऐसे फलन संबंधों में क्रम से दिए गए मान आगे बढ़ाएँ।
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