फलन (f(x)=\sqrt{\frac{5-x}{x+1}}) का प्रांत ज्ञात कीजिए।

Find the domain of (f(x)=\sqrt{\frac{5-x}{x+1}}).

Explanation opens after your attempt
Correct Answer

A. ((-1,5])

Step 1

Concept

The condition is \(\frac{5-x}{x+1}\ge 0\) and \(x\ne -1\). Sign testing gives ((-1,5]).

Step 2

Why this answer is correct

The correct answer is A. ((-1,5]). The condition is \(\frac{5-x}{x+1}\ge 0\) and \(x\ne -1\). Sign testing gives ((-1,5]).

Step 3

Exam Tip

शर्त \(\frac{5-x}{x+1}\ge 0\) और \(x\ne -1\) है। साइन परीक्षण से ((-1,5]) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\sqrt{\frac{5-x}{x+1}}) का प्रांत ज्ञात कीजिए। / Find the domain of (f(x)=\sqrt{\frac{5-x}{x+1}}).

Correct Answer: A. ((-1,5]). Explanation: शर्त \(\frac{5-x}{x+1}\ge 0\) और \(x\ne -1\) है। साइन परीक्षण से ((-1,5]) मिलता है। / The condition is \(\frac{5-x}{x+1}\ge 0\) and \(x\ne -1\). Sign testing gives ((-1,5]).

Which concept should I revise for this Mathematics MCQ?

The condition is \(\frac{5-x}{x+1}\ge 0\) and \(x\ne -1\). Sign testing gives ((-1,5]).

What exam hint can help solve this Mathematics question?

शर्त \(\frac{5-x}{x+1}\ge 0\) और \(x\ne -1\) है। साइन परीक्षण से ((-1,5]) मिलता है।