diketahui f(x) = X² -2x + 2 g(x) = X + 1 jika (gof) (a) = 2 nilai a adalah?

gof(a)
= g(f(a))

g(a^2 - 2a + 2)
= a^2 - 2a + 2 + 1

-->
2 = a^2 -2a + 3
a^2 - 2a +3-2 = 0
a^2 - 2a + 1 = 0
(a - 1)^2 = 0

a = 1

f (x) = x² - 2x + 2
g (x) = x + 1

gof (x)
= g (f (x))
= g (x² - 2x + 2)
= (x² - 2x + 2) + 1
= x² - 2x + 3

gof (a) = 2
a² - 2a + 3 = 2
a² - 2a + 3 - 2 = 0
a² - 2a + 1 = 0
(a - 1) (a - 1) = 0
(a - 1)² = 0
a = 1