यदि (f(x)=\sqrt{\frac{x-1}{x+2}}), तो प्रांत कौन सा है?

If (f(x)=\sqrt{\frac{x-1}{x+2}}), which is the domain?

Explanation opens after your attempt
Correct Answer

A. (\(-\infty,-2\)\cup[1,\infty))

Step 1

Concept

The condition is \(\frac{x-1}{x+2}\ge 0\) and \(x\ne -2\). A sign chart gives (\(-\infty,-2\)\cup[1,\infty)).

Step 2

Why this answer is correct

The correct answer is A. (\(-\infty,-2\)\cup[1,\infty)). The condition is \(\frac{x-1}{x+2}\ge 0\) and \(x\ne -2\). A sign chart gives (\(-\infty,-2\)\cup[1,\infty)).

Step 3

Exam Tip

शर्त \(\frac{x-1}{x+2}\ge 0\) और \(x\ne -2\) है। साइन चार्ट से (\(-\infty,-2\)\cup[1,\infty)) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\sqrt{\frac{x-1}{x+2}}), तो प्रांत कौन सा है? / If (f(x)=\sqrt{\frac{x-1}{x+2}}), which is the domain?

Correct Answer: A. (\(-\infty,-2\)\cup[1,\infty)). Explanation: शर्त \(\frac{x-1}{x+2}\ge 0\) और \(x\ne -2\) है। साइन चार्ट से (\(-\infty,-2\)\cup[1,\infty)) मिलता है। / The condition is \(\frac{x-1}{x+2}\ge 0\) and \(x\ne -2\). A sign chart gives (\(-\infty,-2\)\cup[1,\infty)).

Which concept should I revise for this Mathematics MCQ?

The condition is \(\frac{x-1}{x+2}\ge 0\) and \(x\ne -2\). A sign chart gives (\(-\infty,-2\)\cup[1,\infty)).

What exam hint can help solve this Mathematics question?

शर्त \(\frac{x-1}{x+2}\ge 0\) और \(x\ne -2\) है। साइन चार्ट से (\(-\infty,-2\)\cup[1,\infty)) मिलता है।