यदि (f(x)=\frac{1}{x-2}) और (g(x)=\sqrt{x+3}) हों, तो ((fg)(x)) का प्रांत क्या होगा?
If (f(x)=\frac{1}{x-2}) and (g(x)=\sqrt{x+3}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \( [-3,\infty\)\setminus{2} )
Concept
The root needs \(x\ge -3\) and the denominator needs \(x\ne 2\). For a product, take the common domain of both functions.
Why this answer is correct
The correct answer is A. \( [-3,\infty\)\setminus{2} ). The root needs \(x\ge -3\) and the denominator needs \(x\ne 2\). For a product, take the common domain of both functions.
Exam Tip
मूल के लिए \(x\ge -3\) और हर के लिए \(x\ne 2\) चाहिए। गुणन में भी दोनों फलनों का सामान्य प्रांत लिया जाता है।
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