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If (f:R\to R), (f(x)=|x+4|), what is (f^{-1}({6}))?यदि (f:R\to R), (f(x)=|x+4|), तो (f^{-1}({6})) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({-10,2})({-10,2})
Step 1: To find the preimage, solve (|x+4|=6). Step 2: This gives (x+4=6) or (x+4=-6). Step 3: Hence (x=2) or (x=-10), so the preimage is ({-10,2}).चरण 1: पूर्वछवि के लिए (|x+4|=6) हल करें। चरण 2: इससे (x+4=6) या (x+4=-6) मिलता है। चरण 3: इसलिए (x=2) या (x=-10), अतः पूर्वछवि ({-10,2}) है।
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