यदि (f(x)=x-2) और (g(x)=x+1) हैं तो (\(f\circ g\)(x)-\(g\circ f\)(x)) क्या है?

If (f(x)=x-2) and (g(x)=x+1) then what is (\(f\circ g\)(x)-\(g\circ f\)(x))?

Explanation opens after your attempt
Correct Answer

A. (x)

Step 1

Concept

The correct calculation is ((x+1)2-\(x^2+1\)=2x), so option (B) is correct. Always expand both compositions before subtracting.

Step 2

Why this answer is correct

The correct answer is A. (x). The correct calculation is ((x+1)2-\(x^2+1\)=2x), so option (B) is correct. Always expand both compositions before subtracting.

Step 3

Exam Tip

(\(f\circ g\)(x)=(x+1)2) और (\(g\circ f\)(x)=x-2+1), अंतर (2x) नहीं बल्कि (2x)?

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=x-2) और (g(x)=x+1) हैं तो (\(f\circ g\)(x)-\(g\circ f\)(x)) क्या है? / If (f(x)=x-2) and (g(x)=x+1) then what is (\(f\circ g\)(x)-\(g\circ f\)(x))?

Correct Answer: A. (x). Explanation: (\(f\circ g\)(x)=(x+1)2) और (\(g\circ f\)(x)=x-2+1), अंतर (2x) नहीं बल्कि (2x)? / The correct calculation is ((x+1)2-\(x^2+1\)=2x), so option (B) is correct. Always expand both compositions before subtracting.

Which concept should I revise for this Mathematics MCQ?

The correct calculation is ((x+1)2-\(x^2+1\)=2x), so option (B) is correct. Always expand both compositions before subtracting.

What exam hint can help solve this Mathematics question?

(\(f\circ g\)(x)=(x+1)2) और (\(g\circ f\)(x)=x-2+1), अंतर (2x) नहीं बल्कि (2x)?