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What is the domain of (f(x)=\sqrt{\frac{x-5}{x-2}})?फलन (f(x)=\sqrt{\frac{x-5}{x-2}}) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( (-\infty,2)\cup[5,\infty) )( (-\infty,2)\cup[5,\infty) )
The expression inside the square root must satisfy (\frac{x-5}{x-2}\ge 0) and (x\ne 2). A sign chart gives (x<2) or (x\ge 5).वर्गमूल के अंदर (\frac{x-5}{x-2}\ge 0) और (x\ne 2) चाहिए। संकेत सारणी से (x<2) या (x\ge 5) मिलता है।
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