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If (f(x)=\sqrt{x-1}) and (g(x)=\sqrt{5-x}), what is the domain of ((f+g)(x))?यदि (f(x)=\sqrt{x-1}) और (g(x)=\sqrt{5-x}) हों, तो ((f+g)(x)) का domain क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([1,5])([1,5])
Both square roots must be defined, so (x-1\geq 0) and (5-x\geq 0), giving (x\in[1,5]). For a sum, take the intersection of domains.दोनों square roots defined होने चाहिए, इसलिए (x-1\geq 0) और (5-x\geq 0), जिससे (x\in[1,5])। sum के लिए domains का intersection लें।
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