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Question:
The functions f(x) and g(x) are related as f(g(x)) = xg(f(f(x))), where f (x) = \(\frac{x}{x-1}\). What could be the functional form g(x)?
The functions f(x) and g(x) are related as f(g(x)) = xg(f(f(x))), where f (x) = \(\frac{x}{x-1}\). What could be the functional form g(x)?
Updated On: Aug 19, 2024
- \(\frac{1}{x}\)
- \(\frac{x}{x+1}\)
- \(\frac{x+1}{x}\)
- \(\frac{x}{x-1}\)
- \(\frac{x}{1-x}\)
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The Correct Option is C
Solution and Explanation
The correct option is (C): \(\frac{x+1}{x}\)
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