If f(x)=3x^2 and g(x)=2x+2, find
a) f(g(x)
b) fg(2)
c) gf(x)

see explanation

Step-by-step explanation:

(a)

f(g(x)) = f(2x + 2) = 3(2x + 2)² = 3(4x² + 8x + 4) = 12x² + 24x + 12

(b)

Substitute x = 2 into f(g(x)), that is

f(g(2)) = 12(2)² + 24(2) + 12 = 12(4) + 48 + 12 = 48 + 48 + 12 = 108

(c)

g(f(x)) = g(3x²) = 2(3x²) + 2 = 6x² + 2

Step-by-step explanation:

hello :

f(x) =3x²   and g(x) =2x+2

a) f(g(x)) = f(2x+2) = 3(2x+2)²

b)f(g(2)) = 3(2(2)+2)² = 108

c) g(f(x)) =g(3x²)=  2(3x²)+2=6x²+2

answer: a.   one is a factor of every whole number since every number is divisible by itself.