यदि (f(x)=\frac{1}{x}) और (g(x)=x+1), तो (\(f\circ g\)(x)) का प्रांत क्या है?
If (f(x)=\frac{1}{x}) and (g(x)=x+1), what is the domain of (\(f\circ g\)(x))?
Explanation opens after your attempt
C. \(\mathbb{R}-{-1}\)
Concept
(\(f\circ g\)(x)=f(x+1)=\frac{1}{x+1}).
Why this answer is correct
The denominator (x+1) must not be zero.
Exam Tip
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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