Answer:
(4, 11 ) ; (- 4, 27 )
Step-by-step explanation:
Given
f(x) = x² - 2x + 3 → (1)
f(x) = - 2x + 19 → (2)
Substitute f(x) = x² - 2x + 3 into (2)
x² - 2x + 3 = - 2x + 19 ( add 2x to both sides )
x² + 3 = 19 ( subtract 3 from both sides )
x² = 16 ( take square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
Substitute these values into (2) for corresponding values of y
x = 4 : y = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )
x = - 4 : y = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )
