Question

I do not know the points for this question

Answer 1

Answer:

(- 1, 6 )

Step-by-step explanation:

Equate the right sides of both equations, that is

x² - 2x + 3 = - 6x ← add 6x to both sides

x² + 4x + 3 = 0 ← in standard form

(x + 3)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x + 1 = 0 ⇒ x = - 1

Substitute these values into f(x) = - 6x

f(- 3) = - 6(- 3) = 18 ⇒ (- 3, 18 )

f(- 1) = - 6(- 1) = 6 ⇒ (- 1, 6 )