Question

What are the points of intersection between the graphs of the functions

f(x) = (x+3)(x − 1) and g(x) = (x + 1)(x − 3)

Answer 1

Explanation:

THE POINT OF INTERSECTION IS WHERE F(x) = G(x)

`(x + 3)(x - 1) = (x + 1)(x - 3) \\ {x}^(2) + 2x - 3 = {x}^(2) - 2x - 3 \\ \\ {x}^(2) - {x}^(2) + 2x + 2x - 3 + 3 = 0 \\ 4x = 0 \\ (4x)/(4) = (0)/(4) \\ x = 0`

find the y coordinate by plugging in the value of c in any of the function.You will get thw same value

`g(0) = (0 + 1)(0 - 3) \\ g(0) = 1( - 3) \\ g(0) = y = - 3`

The point of intersection is (0,-3)