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If (f:R\to R), (f(x)=|x-3|), what is (f^{-1}({2}))?यदि (f:R\to R), (f(x)=|x-3|), तो (f^{-1}({2})) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({1,5})({1,5})
Step 1: To find the preimage, solve (|x-3|=2). Step 2: This gives (x-3=2) or (x-3=-2). Step 3: Hence (x=5) or (x=1), so the preimage is ({1,5}).चरण 1: पूर्वछवि के लिए (|x-3|=2) हल करें। चरण 2: इससे (x-3=2) या (x-3=-2) मिलता है। चरण 3: इसलिए (x=5) या (x=1), अतः पूर्वछवि ({1,5}) है।
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