यदि (f(x)=\frac{1}{x-1}) और (g(x)=x+1) हों, तो ((fg)(x)=1) के हल कौन-से हैं?

If (f(x)=\frac{1}{x-1}) and (g(x)=x+1), what are the solutions of ((fg)(x)=1)?

Explanation opens after your attempt
Correct Answer

A. कोई वास्तविक हल नहींNo real solution

Step 1

Concept

\(\frac{x+1}{x-1}=1\) gives (x+1=x-1), which is impossible. Also, the condition \(x\ne 1\) remains.

Step 2

Why this answer is correct

The correct answer is A. कोई वास्तविक हल नहीं / No real solution. \(\frac{x+1}{x-1}=1\) gives (x+1=x-1), which is impossible. Also, the condition \(x\ne 1\) remains.

Step 3

Exam Tip

\(\frac{x+1}{x-1}=1\) से (x+1=x-1), जो असंभव है। साथ ही \(x\ne 1\) शर्त रहती है।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{1}{x-1}) और (g(x)=x+1) हों, तो ((fg)(x)=1) के हल कौन-से हैं? / If (f(x)=\frac{1}{x-1}) and (g(x)=x+1), what are the solutions of ((fg)(x)=1)?

Correct Answer: A. कोई वास्तविक हल नहीं / No real solution. Explanation: \(\frac{x+1}{x-1}=1\) से (x+1=x-1), जो असंभव है। साथ ही \(x\ne 1\) शर्त रहती है। / \(\frac{x+1}{x-1}=1\) gives (x+1=x-1), which is impossible. Also, the condition \(x\ne 1\) remains.

Which concept should I revise for this Mathematics MCQ?

\(\frac{x+1}{x-1}=1\) gives (x+1=x-1), which is impossible. Also, the condition \(x\ne 1\) remains.

What exam hint can help solve this Mathematics question?

\(\frac{x+1}{x-1}=1\) से (x+1=x-1), जो असंभव है। साथ ही \(x\ne 1\) शर्त रहती है।