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If (f(x)=2x) and (g(x)=\frac{x}{2}), which statement about (f) and (g) is correct?यदि (f(x)=2x) और (g(x)=\frac{x}{2}), तो (f) और (g) के बारे में सही कथन कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: They are inverses of each otherवे एक-दूसरे के प्रतिलोम हैं
Step 1: (f(g(x))=f(\frac{x}{2})=x). Step 2: (g(f(x))=g(2x)=x). Step 3: Both composites give the identity function, so they are inverses.चरण 1: (f(g(x))=f(\frac{x}{2})=x)। चरण 2: (g(f(x))=g(2x)=x)। चरण 3: दोनों संयुक्त फलन पहचान फलन देते हैं, इसलिए वे प्रतिलोम हैं।
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