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If (f:\mathbb{R}\setminus{3}\to\mathbb{R}\setminus{0}), (f(x)=\frac{2}{x-3}), which statement is correct?यदि (f:\mathbb{R}\setminus{3}\to\mathbb{R}\setminus{0}), (f(x)=\frac{2}{x-3}) है, तो सही कथन कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is ontoयह आच्छादी है
Step 1: Take any codomain value (y\ne0). Step 2: From (\frac{2}{x-3}=y), we get (x=3+\frac{2}{y}), which is not (3). Step 3: Reciprocal-type functions are onto when the codomain is chosen correctly.चरण 1: सहप्रांत का कोई भी (y\ne0) लें। चरण 2: (\frac{2}{x-3}=y) से (x=3+\frac{2}{y}) मिलता है, जो (3) नहीं है। चरण 3: व्युत्क्रम प्रकार के फलन उचित सहप्रांत पर आच्छादी होते हैं।
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