यदि (f(x)=x-2+1) और (g(x)=\sqrt{x-1}), तो (\(g\circ f\)(x)) क्या होगा?

If (f(x)=x-2+1) and (g(x)=\sqrt{x-1}), what is (\(g\circ f\)(x))?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{x^2}\)

Step 1

Concept

(\(g\circ f\)(x)=g(f(x))).

Step 2

Why this answer is correct

Put \(x^2+1\) in place of (x) in (g).

Step 3

Exam Tip

(g(f(x))=\sqrt{\(x^2+1\)-1}=\sqrt{x-2}). चरण 1: (\(g\circ f\)(x)=g(f(x))) है। चरण 2: (g) में (x) के स्थान पर \(x^2+1\) रखें। चरण 3: (g(f(x))=\sqrt{\(x^2+1\)-1}=\sqrt{x-2})।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=x-2+1) और (g(x)=\sqrt{x-1}), तो (\(g\circ f\)(x)) क्या होगा? / If (f(x)=x-2+1) and (g(x)=\sqrt{x-1}), what is (\(g\circ f\)(x))?

Correct Answer: A. \(\sqrt{x^2}\). Explanation: चरण 1: (\(g\circ f\)(x)=g(f(x))) है। चरण 2: (g) में (x) के स्थान पर \(x^2+1\) रखें। चरण 3: (g(f(x))=\sqrt{\(x^2+1\)-1}=\sqrt{x-2})। / Step 1: (\(g\circ f\)(x)=g(f(x))). Step 2: Put \(x^2+1\) in place of (x) in (g). Step 3: (g(f(x))=\sqrt{\(x^2+1\)-1}=\sqrt{x-2}).

Which concept should I revise for this Mathematics MCQ?

(\(g\circ f\)(x)=g(f(x))).

What exam hint can help solve this Mathematics question?

(g(f(x))=\sqrt{\(x^2+1\)-1}=\sqrt{x-2}). चरण 1: (\(g\circ f\)(x)=g(f(x))) है। चरण 2: (g) में (x) के स्थान पर \(x^2+1\) रखें। चरण 3: (g(f(x))=\sqrt{\(x^2+1\)-1}=\sqrt{x-2})।