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If (f(x)=\sqrt{x-1}) and (g(x)=x), what is the real domain of ((fg)(x))?यदि (f(x)=\sqrt{x-1}) और (g(x)=x) हों, तो ((fg)(x)) का वास्तविक डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ([1,\infty))([1,\infty))
For (\sqrt{x-1}), (x-1\ge 0), so (x\ge 1). The product domain is the intersection of both domains.(\sqrt{x-1}) के लिए (x-1\ge 0), यानी (x\ge 1)। गुणन का डोमेन दोनों डोमेन का प्रतिच्छेद होता है।
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