Respuesta :
(f o g)(x)=
stick g(x) in for x in the function f(x)
(f o g)(x)= 4(g(x)) -1
=4*5x^2 -1
= 20x^2 -1
For this case we have that by definition, if we want to find (f o g) (x) we must replace g (x) in f (x), on the contrary, if we want to find (g o f) (x) we must replace f (x) in the function g (x).
So:
[tex](f o g) (x) = 4 (5x ^ 2) - 1\\(f o g) (x) = 20x ^ 2-1[/tex]
Thus, the expression that is equal to (f o g) (x) is[tex]20x ^ 2-1[/tex], or 20x (to the second power) - 1
Answer:
Option A
20x (to the second power) - 1