यदि (f(x)=\sqrt{x}) और (g(x)=x-4) हों, तो (\left\(\frac{f}{g}\right\)(x)) का प्रांत क्या होगा?
If (f(x)=\sqrt{x}) and (g(x)=x-4), what is the domain of (\left\(\frac{f}{g}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. \( [0,\infty\)\setminus{4} )
Concept
\(\sqrt{x}\) needs \(x\ge 0\) and the denominator needs \(x\ne 4\). In a quotient, the denominator function must not be zero.
Why this answer is correct
The correct answer is A. \( [0,\infty\)\setminus{4} ). \(\sqrt{x}\) needs \(x\ge 0\) and the denominator needs \(x\ne 4\). In a quotient, the denominator function must not be zero.
Exam Tip
\(\sqrt{x}\) के लिए \(x\ge 0\) और हर के लिए \(x\ne 4\) चाहिए। भागफल में भाजक फलन शून्य नहीं होना चाहिए।
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