For this case we have the following functions:
[tex]f (x) = 4x ^ 2 + 1\\g (x) = x ^ 2-5[/tex]
We must find[tex](f-g) (x):[/tex]
By definition of operations with functions we have:
[tex](f-g) (x) = f (x) -g (x)[/tex]
So:
[tex](f-g) (x) = f (x) -g (x) = 4x ^ 2 + 1- (x ^ 2-5) = 4x ^ 2 + 1-x ^ 2 + 5 = 3x ^ 2 + 6[/tex]
Answer:
Option A
[tex]3x ^ 2 + 6[/tex]
