Question

1. let $f(x) = 3x + 5$ and $g(x) = -4x + 7$. find $(f \circ g)(-4)$

\bigcirc 35
\bigcirc 23
\bigcirc -7
\bigcirc 74

Explanation:

Step1: Calcular \( g(-4) \)

Primero, sustituimos \( x = -4 \) en la función \( g(x) = -4x + 7 \).

$$ g(-4) = -4(-4) + 7 = 16 + 7 = 23 $$

Step2: Calcular \( f(g(-4)) = f(23) \)

Ahora, sustituimos \( x = 23 \) en la función \( f(x) = 3x + 5 \).

$$ f(23) = 3(23) + 5 = 69 + 5 = 74 $$

Answer:

74