यदि (f(x)=\frac{x-2}{x+1}) और (g(x)=\frac{x+3}{x+1}) हैं, तो ((f-g)(x)) क्या होगा?

If (f(x)=\frac{x-2}{x+1}) and (g(x)=\frac{x+3}{x+1}), what is ((f-g)(x))?

Explanation opens after your attempt
Correct Answer

A. \(\frac{-5}{x+1}, x \neq -1\)

Step 1

Concept

With the same denominator, subtract numerators: (\frac{x-2-(x+3)}{x+1}=\frac{-5}{x+1}). Because of denominator (x+1), \(x \neq -1\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{-5}{x+1}, x \neq -1\). With the same denominator, subtract numerators: (\frac{x-2-(x+3)}{x+1}=\frac{-5}{x+1}). Because of denominator (x+1), \(x \neq -1\).

Step 3

Exam Tip

समान हर होने पर अंश घटाएँ: (\frac{x-2-(x+3)}{x+1}=\frac{-5}{x+1})। हर (x+1) के कारण \(x \neq -1\)।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{x-2}{x+1}) और (g(x)=\frac{x+3}{x+1}) हैं, तो ((f-g)(x)) क्या होगा? / If (f(x)=\frac{x-2}{x+1}) and (g(x)=\frac{x+3}{x+1}), what is ((f-g)(x))?

Correct Answer: A. \(\frac{-5}{x+1}, x \neq -1\). Explanation: समान हर होने पर अंश घटाएँ: (\frac{x-2-(x+3)}{x+1}=\frac{-5}{x+1})। हर (x+1) के कारण \(x \neq -1\)। / With the same denominator, subtract numerators: (\frac{x-2-(x+3)}{x+1}=\frac{-5}{x+1}). Because of denominator (x+1), \(x \neq -1\).

Which concept should I revise for this Mathematics MCQ?

With the same denominator, subtract numerators: (\frac{x-2-(x+3)}{x+1}=\frac{-5}{x+1}). Because of denominator (x+1), \(x \neq -1\).

What exam hint can help solve this Mathematics question?

समान हर होने पर अंश घटाएँ: (\frac{x-2-(x+3)}{x+1}=\frac{-5}{x+1})। हर (x+1) के कारण \(x \neq -1\)।