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If (f(x)=\frac{1}{x+1}), what is ((f\circ f)(x))?यदि (f(x)=\frac{1}{x+1}) हो तो ((f\circ f)(x)) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{x+1}{x+2})(\frac{x+1}{x+2})
Step 1: ((f\circ f)(x)=f(f(x))). Step 2: (f(f(x))=\frac{1}{\frac{1}{x+1}+1}=\frac{x+1}{x+2}). Step 3: In fractional compositions, simplify the denominator carefully.चरण 1: ((f\circ f)(x)=f(f(x))) है। चरण 2: (f(f(x))=\frac{1}{\frac{1}{x+1}+1}=\frac{x+1}{x+2})। चरण 3: भिन्न वाले समिश्र फलनों में हर को सावधानी से सरल करें।
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