Question

For the functions f(x)=6x2+5x−14 and g(x)=x+2, find (fg)(x) and (fg)(4).

Answer 1

Answer:

many a number

Step-by-step explanation:

Answer 2

$f(g(x)) = f(x+2) = 6(x+2)^2 + 5(x+2) - 14 = 6(x^2 + 4x + 4) + 5x + 10 - 14\\=6x^2 + 24x + 24 + 5x - 4 = 6x^2 + 29x + 20\\f(g(x)) = 6x^2 + 29x + 20\\\\f(g(4)) = 6(4^2) + 29(4) + 20 = 6(16) + 116 + 20 = 96 + 136 = 232\\f(g(4)) = 232$