Freeflows
Nested Function Identity
If the function $ f $ defined by \[f(x) = \frac{cx}{2x + 3},\]where $ c $ is a constant and $ x \neq -\frac{3}{2}, $ satisfies $ f(f(x)) = x $ for all $ x \neq -\frac{3}{2}, $ then find $ c $.
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- $\frac{a}{b}$
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- $a^n$
- $a^{\circ}$
- $a_n$
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- $\pi$
- $\ln{}$
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- $\cap$
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- $\infty$