Final answer:
To find (fog)(5), first evaluate the function g(5), and then plug the result into the function f.
Step-by-step explanation:
To find (fog)(5), we need to plug the value of 5 into the function g first, and then plug that result into the function f.
So, let's start by evaluating g(5):
g(x) = -2x^5
g(5) = -2(5)^5
g(5) = -2(3125)
g(5) = -6250
Now, we can plug the result, -6250, into the function f:
f(x) = 4x^3
f(-6250) = 4(-6250)^3
f(-6250) = 4(-2441406250000)
f(-6250) = -9765625000000
Therefore, (fog)(5) = -9765625000000