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If (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}) is given by (f(x)=\frac{1}{x}), what is (f^{-1}(x))?यदि (f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}) को (f(x)=\frac{1}{x}) से दिया गया है, तो (f^{-1}(x)) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{1}{x})(\frac{1}{x})
Step 1: Put (y=\frac{1}{x}). Step 2: This gives (x=\frac{1}{y}). Step 3: Hence the inverse function is the same as the original function.चरण 1: (y=\frac{1}{x}) मानें। चरण 2: इससे (x=\frac{1}{y}) मिलता है। चरण 3: इसलिए प्रतिलोम फलन मूल फलन जैसा ही है।
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