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If (f(x)=\sqrt{x+5}) and (g(x)=\frac{1}{x-1}), what is the domain of ((fg)(x))?यदि (f(x)=\sqrt{x+5}) और (g(x)=\frac{1}{x-1}) हैं, तो ((fg)(x)) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([-5,\infty)\setminus{1})([-5,\infty)\setminus{1})
The square root needs (x+5\ge 0), and the denominator needs (x\ne 1). So the domain is ([-5,\infty)\setminus{1}).वर्गमूल के लिए (x+5\ge 0) और हर के लिए (x\ne 1) चाहिए। इसलिए प्रांत ([-5,\infty)\setminus{1}) है।
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