Answer:
x = - 4, x = 1
Step-by-step explanation:
At the point of intersection
f(x) = g(x) , that is
(x + 3)² = 3x + 13 ← expand left side using FOIL
x² + 6x + 9 = 3x + 13 ( subtract 3x + 13 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
