Question

Given the functions, F(x) = (x + 3)^2 and g(x) = 3x + 13, determine the x-values of the points of intersection.

Answer 1

hello : 
x-values of the points of intersection are solutions :  F(x) = g(x)
(x+3)² = 3x+13
x²+6x+9 = 3x+13
x²+6x+9 -3x-13 = 0
x²+3x-4 = 0
 (x+4)(x-1) = 0
x+4 =0 or x-1 = 0
x=-4 or x=1