Answer:
(fog)(-3) = 125
Step-by-step explanation:
So, we need to first evaluate g(-3) and then plug the value of g(-3) into f(x) to find (fog)(-3). So, let's do that:
[tex]g(-3) = -3-2 = -5[/tex]
[tex]f(g(-3)) = f(-5) = 5(-5)^2 = 5(25) = 125[/tex]
Thus, (fog)(-3) = 125.