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If (f(x)=\frac{1}{x}) and (g(x)=x+1), what is the domain of ((f\circ g)(x))?यदि (f(x)=\frac{1}{x}) और (g(x)=x+1), तो ((f\circ g)(x)) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\mathbb{R}-{-1})(\mathbb{R}-{-1})
Step 1: ((f\circ g)(x)=f(x+1)=\frac{1}{x+1}). Step 2: The denominator (x+1) must not be zero. Step 3: Hence (x\neq -1), so the domain is (\mathbb{R}-{-1}).चरण 1: ((f\circ g)(x)=f(x+1)=\frac{1}{x+1})। चरण 2: हर (x+1) शून्य नहीं होना चाहिए। चरण 3: इसलिए (x\neq -1) और प्रांत (\mathbb{R}-{-1}) है।
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