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If (f(x)=\frac{3x+2}{x-1}), what is the domain of (f)?यदि (f(x)=\frac{3x+2}{x-1}), तो (f) का प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\mathbb{R}-{1})(\mathbb{R}-{1})
Step 1: The denominator is (x-1). Step 2: The denominator cannot be zero, so (x-1\neq 0), meaning (x\neq 1). Step 3: The domain includes only those real numbers for which the function is defined.चरण 1: भिन्न में हर (x-1) है। चरण 2: हर शून्य नहीं हो सकता, इसलिए (x-1\neq 0), अर्थात (x\neq 1)। चरण 3: प्रांत में वही वास्तविक संख्याएँ रखें जिन पर फलन परिभाषित हो।
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