यदि (f(x)=\sqrt{4-x}+1) है तो (f) का प्रांत और परिसर क्या है?
If (f(x)=\sqrt{4-x}+1), what are the domain and range of (f)?
Explanation opens after your attempt
Correct Answer
A. प्रांत (\(-\infty,4]\), परिसर \([1,\infty\))Domain (\(-\infty,4]\), range \([1,\infty\))
Concept
From \(4-x\ge 0\), \(x\le 4\), and \(\sqrt{4-x}\ge 0\), the range is \([1,\infty\)). Checking equality at endpoints is important.
Why this answer is correct
The correct answer is A. प्रांत (\(-\infty,4]\), परिसर \([1,\infty\)) / Domain (\(-\infty,4]\), range \([1,\infty\)). From \(4-x\ge 0\), \(x\le 4\), and \(\sqrt{4-x}\ge 0\), the range is \([1,\infty\)). Checking equality at endpoints is important.
Exam Tip
\(4-x\ge 0\) से \(x\le 4\) और \(\sqrt{4-x}\ge 0\) से परिसर \([1,\infty\)) है। सीमा पर बराबरी जांचना जरूरी है।
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