Question

find g(f(x)).
f(x) = 4x + 5 g(x) = x - 3
g(f(x)) = ?x +

Explanation:

Step1: Substitute f(x) into g(x)

To find \( g(f(x)) \), we substitute \( f(x) = 4x + 5 \) into \( g(x) \). So we replace \( x \) in \( g(x) = x - 3 \) with \( 4x + 5 \), getting \( g(f(x)) = (4x + 5) - 3 \).

Step2: Simplify the expression

Simplify \( (4x + 5) - 3 \). Combine the constant terms: \( 5 - 3 = 2 \). So the expression becomes \( 4x + 2 \).

Answer:

\( g(f(x)) = \boldsymbol{4}x + \boldsymbol{2} \)