Question
\[ f(x) = 3x + 4 \quad g(x) = 2x - 3 \] \[ \text{Encontre: } f \circ g(x) \]
Ask by Thornton Coles. in Angola
Feb 15,2025
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Answer
f ∘ g(x) = 6x – 5
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Beyond the Answer
Para encontrar \( f \circ g(x) \), precisamos substituir \( g(x) \) na função \( f(x) \). Temos: 1. Primeiro, calcule \( g(x) \): \[ g(x) = 2x - 3 \] 2. Agora, substitua \( g(x) \) na função \( f(x) \): \[ f(g(x)) = f(2x - 3) \] 3. Agora, aplique a função \( f(x) = 3x + 4 \): \[ f(2x - 3) = 3(2x - 3) + 4 \] 4. Resolva a expressão: \[ = 6x - 9 + 4 \] \[ = 6x - 5 \] Portanto, temos: \[ f \circ g(x) = 6x - 5 \]