Question
\[ f(x) = 3x + 4 \quad g(x) = 2x - 3 \] \[ \text{Encuentra: } f \circ g(x) \]
Ask by Barker Grant. in Colombia
Mar 16,2025
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\( f \circ g(x) = 6x - 5 \)
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Para encontrar \( f \circ g(x) \), primero debes sustituir \( g(x) \) en \( f(x) \). Sabemos que: \[ g(x) = 2x - 3 \] Ahora sustituimos \( g(x) \) en \( f(x) \): \[ f(g(x)) = f(2x - 3) \] Ahora, sustituimos \( 2x - 3 \) en la función \( f(x) \): \[ f(2x - 3) = 3(2x - 3) + 4 \] Desarrollamos la expresión: \[ = 6x - 9 + 4 \] Finalmente, simplificamos: \[ = 6x - 5 \] Por lo tanto, \( f \circ g(x) = 6x - 5 \).