For f (x) = 4x+1 and g (x) = x^2 - 5, find (fog) (4)

(fog) (4) is the same thing as: f (g (4)). This is asking us to find the value of g (4) and plug it into f (x) as x. First let's find g (4):

g (4) = 4^2 - 5 = 16 - 5 = 11

Plug x=11 into f (x):

f (11) = 4 (11) + 1 = 44 + 1 = 45

The answer is 45.