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If (f(x)=\sqrt{x+1}) and (g(x)=\sqrt{x-3}) then what is the domain of ((f-g)(x))?यदि (f(x)=\sqrt{x+1}) और (g(x)=\sqrt{x-3}) हैं तो ((f-g)(x)) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \([3,\infty))\([3,\infty))
For both square roots (x+1\ge 0) and (x-3\ge 0), hence (x\ge 3). Even in subtraction both functions must be defined.दोनों वर्गमूलों के लिए (x+1\ge 0) और (x-3\ge 0), इसलिए (x\ge 3)। घटाव में भी दोनों फलन परिभाषित होने चाहिए।
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