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If \(f(x)=\frac{1}{x}\), where (x\ne 0), what is the value of (f(f(x)))?यदि \(f(x)=\frac{1}{x}\) जहाँ (x\ne 0), तो (f(f(x))) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x)(x)
Step 1: \(f(x)=\frac{1}{x}\). Step 2: \(f(f(x))=f\left(\frac{1}{x}\right)=\frac{1}{\frac{1}{x}}=x\). Step 3: Such a function behaves like its own inverse.चरण 1: \(f(x)=\frac{1}{x}\) है। चरण 2: \(f(f(x))=f\left(\frac{1}{x}\right)=\frac{1}{\frac{1}{x}}=x\)। चरण 3: ऐसा फलन अपने ही प्रतिलोम जैसा व्यवहार करता है।
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