Answer :
Answer:
- -19
Step-by-step explanation:
Given:
- f(x) = x-2 and g(x) = 5x+3
Find g(-4) first:
- g(-4) = 5(-4) + 3 = -20 + 3 = -17
Now find f(-17):
- f(-17) = -17 - 2 = -19
Answer:
[tex]f(x) = x - 2 \\ g(x) = 5x + 3 \\ f(g(x)) = (5x + 3) - 2 \\ f(g(x)) = 5x + 3 - 2 \\ f(g(x)) = 5x + 1 \\ f(g( - 4)) = 5( -4) + 1 \\ f(g( - 4)) = - 20 + 1 \\ \boxed{f(g( - 4)) = - 19}[/tex]
- f(g(-4)) = -19 is the right answer.