If (f(x)=\frac{x+2}{x-2}), what is (f^{-1}(x))?यदि (f(x)=\frac{x+2}{x-2}), तो (f^{-1}(x)) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{2x+2}{x-1})(\frac{2x+2}{x-1})
Step 1: Write (y=\frac{x+2}{x-2}). Step 2: (y(x-2)=x+2), so (x(y-1)=2y+2) and (x=\frac{2y+2}{y-1}). Step 3: Replace (y) by (x) at the end to get the inverse.चरण 1: (y=\frac{x+2}{x-2}) लिखें। चरण 2: (y(x-2)=x+2), इसलिए (x(y-1)=2y+2) और (x=\frac{2y+2}{y-1})। चरण 3: अंत में (y) की जगह (x) लिखने से प्रतिलोम मिलता है।
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