Answer:
(5, 18 ) ; (- 5, 38 )
Step-by-step explanation:
let y = f(x) , then
y = x² - 2x + 3 → (1)
y = - 2x + 28 → (2)
substitute y = x² - 2x + 3 into (2)
x² - 2x + 3 = - 2x + 28 ( subtract - 2x + 28 from both sides )
x² - 25 = 0 ( add 25 to both sides )
x² = 25 ( take square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
substitute these values into (2) for corresponding values of y
x = 5 : y = - 2(5) + 28 = - 10 + 28 = 18 ⇒ (5, 18 )
x = - 5 : y = - 2(- 5) + 28 = 10 + 28 = 38 ⇒ (- 5, 38 )
