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 )
