Answer:
f(g(2)) = 30
Step-by-step explanation:
Evaluate g(2) , then substitute the value obtained into f(x)
g(2) = 2(2) + 11 = 4 + 11 = 15 , then
f(15) = 3(15) - 15 = 45 - 15 = 30
Step-by-step explanation:
[tex]f(x) = 3x - 15 \\ g(x) = 2x + 11 \\ f(g(x)) = 3(2x + 11) - 15 \\ f(g(x)) = 6x + 33 - 15 \\ f(g(x)) = 6x + 18 \\ f(g(2)) = 6(2) + 18 \\ f(g(2)) = 12 + 18 \\ \boxed{f(g(2)) = 30}[/tex]
