यदि (f(x)=\sqrt{2x-3}) और (g(x)=\sqrt{7-x}) हों, तो (\left\(\frac{f}{g}\right\)(x)) का प्रांत क्या होगा?
If (f(x)=\sqrt{2x-3}) and (g(x)=\sqrt{7-x}), what is the domain of (\left\(\frac{f}{g}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. \( \left[\frac{3}{2},7\right\) )
Concept
The numerator root needs \(2x-3\ge 0\), and the denominator root needs (7-x>0). Therefore the domain is \( \left[\frac{3}{2},7\right\) ).
Why this answer is correct
The correct answer is A. \( \left[\frac{3}{2},7\right\) ). The numerator root needs \(2x-3\ge 0\), and the denominator root needs (7-x>0). Therefore the domain is \( \left[\frac{3}{2},7\right\) ).
Exam Tip
अंश के मूल से \(2x-3\ge 0\) और हर के मूल से (7-x>0) चाहिए। इसलिए प्रांत \( \left[\frac{3}{2},7\right\) ) है।
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