If f (x) = 3x2 and g (x) = x + 2, find (f*g) (x)

(f*g) (x) = 3 (x + 2) ² = 3x² + 12x + 12

Step-by-step explanation:

∵ f (x) = 3x²

∵g (x) = x + 2

∵ (f*g) (x) means the domain of f (x) is g (x)

∴ We will put it like that f (x + 2)

∴ (f*g) (x) = f (x + 2) = 3 (x + 2) ² = 3 (x² + 4x + 4) = 3x² + 12x + 12