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\[ f(x) = 3x + 4 \quad g(x) = 2x - 3 \] \[ \text{Trova: } f \circ g(x) \]

Ask by Watson Crawford. in Italy
Mar 10,2025

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\[ (f \circ g)(x) = 6x - 5 \]

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Bonus Knowledge

Per trovare \( f \circ g(x) \), dobbiamo comporre le due funzioni, ossia sostituire \( g(x) \) nella funzione \( f(x) \). Iniziamo con \( g(x) \): \[ g(x) = 2x - 3 \] Ora sostituiamo \( g(x) \) in \( f(x) \): \[ f(g(x)) = f(2x - 3) = 3(2x - 3) + 4 \] Espandiamo il risultato: \[ = 6x - 9 + 4 = 6x - 5 \] Quindi, \( f \circ g(x) = 6x - 5 \).

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