121k views
1 vote
Let f(x) = 4x 3 and g(x) = -2x 5. find (fog)(5)

2 Answers

2 votes

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

User Ramesh Kumar
by
7.2k points
3 votes
Do you mean 4x^3 and -2x^5? Or are you trying to say that they're multiplied?
User Tomexsans
by
6.8k points