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
Correct Answer

C. \(\mathbb{R}-{-1}\)

Step 1

Concept

(\(f\circ g\)(x)=f(x+1)=\frac{1}{x+1}).

Step 2

Why this answer is correct

The denominator (x+1) must not be zero.

Step 3

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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Mathematics Answer, Explanation and Revision Hints

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))?

Correct Answer: C. \(\mathbb{R}-{-1}\). Explanation: 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। / 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 \(\mathbb{R}-{-1}\).

Which concept should I revise for this Mathematics MCQ?

(\(f\circ g\)(x)=f(x+1)=\frac{1}{x+1}).

What exam hint can help solve this Mathematics question?

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।