यदि (f(x)=\frac{1}{x-1}+\frac{1}{x+1}), तो प्रांत क्या है?

If (f(x)=\frac{1}{x-1}+\frac{1}{x+1}), what is the domain?

Explanation opens after your attempt
Correct Answer

A. \(\mathbb{R}-{-1,1}\)

Step 1

Concept

Both denominators must be non-zero, so \(x\ne 1\) and \(x\ne -1\). In sums of rational functions, check every denominator.

Step 2

Why this answer is correct

The correct answer is A. \(\mathbb{R}-{-1,1}\). Both denominators must be non-zero, so \(x\ne 1\) and \(x\ne -1\). In sums of rational functions, check every denominator.

Step 3

Exam Tip

दोनों हर शून्य नहीं होने चाहिए, इसलिए \(x\ne 1\) और \(x\ne -1\)। योग वाले रैशनल फलन में सभी हर जांचें।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{1}{x-1}+\frac{1}{x+1}), तो प्रांत क्या है? / If (f(x)=\frac{1}{x-1}+\frac{1}{x+1}), what is the domain?

Correct Answer: A. \(\mathbb{R}-{-1,1}\). Explanation: दोनों हर शून्य नहीं होने चाहिए, इसलिए \(x\ne 1\) और \(x\ne -1\)। योग वाले रैशनल फलन में सभी हर जांचें। / Both denominators must be non-zero, so \(x\ne 1\) and \(x\ne -1\). In sums of rational functions, check every denominator.

Which concept should I revise for this Mathematics MCQ?

Both denominators must be non-zero, so \(x\ne 1\) and \(x\ne -1\). In sums of rational functions, check every denominator.

What exam hint can help solve this Mathematics question?

दोनों हर शून्य नहीं होने चाहिए, इसलिए \(x\ne 1\) और \(x\ne -1\)। योग वाले रैशनल फलन में सभी हर जांचें।