Answer:
(2, 3 ) and (- 2, 11 )
Step-by-step explanation:
f(x) = x² - 2x + 3 → (1)
f(x) = - 2x + 7 → (2)
Substitute f(x) = x² - 2x + 3 into (2)
x² - 2x + 3 = - 2x + 7 ( add 2x to both sides )
x² + 3 = 7 ( subtract 3 from both sides )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
Substitute these values into (2) for corresponding values of y
x = 2 : y = - 2(2) + 7 = - 4 + 7 = 3 ⇒ (2, 3 )
x = - 2 : y = - 2(- 2) + 7 = 4 + 7 = 11 ⇒ (- 2, 11 )
