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If (f:R\to R), (f(x)=x^2-4), what is (f^{-1}({12}))?यदि (f:R\to R), (f(x)=x^2-4), तो (f^{-1}({12})) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ({-4,4})({-4,4})
Step 1: For the preimage, solve (x^2-4=12). Step 2: This gives (x^2=16). Step 3: Hence (x=4) or (x=-4), so the preimage is ({-4,4}).चरण 1: पूर्वछवि के लिए (x^2-4=12) हल करें। चरण 2: इससे (x^2=16) मिलता है। चरण 3: इसलिए (x=4) या (x=-4), अतः पूर्वछवि ({-4,4}) है।
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