Answer:
(2, - 3 )and (3, - 3 )
Step-by-step explanation:
Equate the right side of both equations, that is
x² - 5x + 3 = - 3 ← add 3 to both sides
x² - 5x + 6 = 0 ← in standard form
(x - 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 3 = 0 ⇒ x = 3
Since f(x) = -3
Then - 3 is the y- coordinate of any coordinate point
Thus
(2, - 3 ) and (3, - 3 )← are the solutions
