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If (f(x)=\frac{\sqrt{x-1}}{x-5}), what is the domain?यदि (f(x)=\frac{\sqrt{x-1}}{x-5}) है तो प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( [1,\infty)\setminus{5} )( [1,\infty)\setminus{5} )
For (\sqrt{x-1}), (x\ge1), and for the denominator (x\ne5). The endpoint (x=1) is valid because the denominator is not zero.(\sqrt{x-1}) के लिए (x\ge1) और हर के लिए (x\ne5) चाहिए। सिरा (x=1) मान्य है क्योंकि हर शून्य नहीं है।
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