Given the functions f and g below, what is (f o g)(11)?

f(x) = x − 20
g(x) = (x − 3)2

To find (f o g)(11), we need to first find the value of g(11) and then use that value to find f(g(11)). Here's how you can do it step by step:

1. Find g(11):
Plug in 11 into the function g(x):
g(11) = (11 - 3)^2
= 8^2
= 64

2. Find f(g(11)):
Now that we have the value of g(11), substitute it into the function f(x):
f(g(11)) = f(64) = 64 - 20
= 44

Therefore, (f o g)(11) = 44.