यदि (f(x)=x-2) और (g(x)=\frac{1}{x}) हों, तो ((f+g)(x)=2) के लिए कौन-सा समीकरण मिलेगा?

If (f(x)=x-2) and (g(x)=\frac{1}{x}), which equation is obtained from ((f+g)(x)=2)?

Explanation opens after your attempt
Correct Answer

A. \(x^3-2x+1=0,\ x\ne 0\)

Step 1

Concept

Multiplying \(x^2+\frac{1}{x}=2\) by (x) gives \(x^3+1=2x\). The condition \(x\ne 0\) is necessary.

Step 2

Why this answer is correct

The correct answer is A. \(x^3-2x+1=0,\ x\ne 0\). Multiplying \(x^2+\frac{1}{x}=2\) by (x) gives \(x^3+1=2x\). The condition \(x\ne 0\) is necessary.

Step 3

Exam Tip

\(x^2+\frac{1}{x}=2\) को (x) से गुणा करने पर \(x^3+1=2x\) मिलता है। \(x\ne 0\) शर्त जरूरी है।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=x-2) और (g(x)=\frac{1}{x}) हों, तो ((f+g)(x)=2) के लिए कौन-सा समीकरण मिलेगा? / If (f(x)=x-2) and (g(x)=\frac{1}{x}), which equation is obtained from ((f+g)(x)=2)?

Correct Answer: A. \(x^3-2x+1=0,\ x\ne 0\). Explanation: \(x^2+\frac{1}{x}=2\) को (x) से गुणा करने पर \(x^3+1=2x\) मिलता है। \(x\ne 0\) शर्त जरूरी है। / Multiplying \(x^2+\frac{1}{x}=2\) by (x) gives \(x^3+1=2x\). The condition \(x\ne 0\) is necessary.

Which concept should I revise for this Mathematics MCQ?

Multiplying \(x^2+\frac{1}{x}=2\) by (x) gives \(x^3+1=2x\). The condition \(x\ne 0\) is necessary.

What exam hint can help solve this Mathematics question?

\(x^2+\frac{1}{x}=2\) को (x) से गुणा करने पर \(x^3+1=2x\) मिलता है। \(x\ne 0\) शर्त जरूरी है।