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If (f:R\to R), (f(x)=x^3+5), what is (f^{-1}(x))?यदि (f:R\to R), (f(x)=x^3+5), तो (f^{-1}(x)) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\sqrt[3]{x-5})(\sqrt[3]{x-5})
Step 1: Write (y=x^3+5). Step 2: Then (x^3=y-5), so (x=\sqrt[3]{y-5}). Step 3: Replacing (y) by (x), (f^{-1}(x)=\sqrt[3]{x-5}).चरण 1: (y=x^3+5) लिखें। चरण 2: (x^3=y-5), इसलिए (x=\sqrt[3]{y-5})। चरण 3: (y) को (x) से बदलने पर (f^{-1}(x)=\sqrt[3]{x-5})।
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