यदि (f(x)=\sqrt{2x-1}) और (g(x)=\sqrt{7-3x}) हैं, तो ((fg)(x)) का प्रांत क्या है?
If (f(x)=\sqrt{2x-1}) and (g(x)=\sqrt{7-3x}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\left[\frac{1}{2},\frac{7}{3}\right]\)
Concept
Both square roots require \(2x-1\ge 0\) and \(7-3x\ge 0\). Hence the domain is \(\left[\frac{1}{2},\frac{7}{3}\right]\).
Why this answer is correct
The correct answer is A. \(\left[\frac{1}{2},\frac{7}{3}\right]\). Both square roots require \(2x-1\ge 0\) and \(7-3x\ge 0\). Hence the domain is \(\left[\frac{1}{2},\frac{7}{3}\right]\).
Exam Tip
दोनों वर्गमूलों के लिए \(2x-1\ge 0\) और \(7-3x\ge 0\) चाहिए। इसलिए प्रांत \(\left[\frac{1}{2},\frac{7}{3}\right]\) है।
Login to save your score, XP, coins and progress.