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If (f(x)=\sqrt{2x-3}) and (g(x)=\sqrt{7-x}), what is the domain of (\left(\frac{f}{g}\right)(x))?यदि (f(x)=\sqrt{2x-3}) और (g(x)=\sqrt{7-x}) हों, तो (\left(\frac{f}{g}\right)(x)) का प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \left[\frac{3}{2},7\right) )( \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) ).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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