Question

Diketahui fungsif dan g diberikan oleh f(x)=3-2xdan g(x)=x^2+1.
Tentukan(g∘f)(2).
Tentukan nilai a jika (g∘f)(a)=2.

Answer 1

G 0 f = g (3-2.2)
       = -1² + 1
       = 2

Answer 2

F(2) = 3 - 2(2)
f(2) = -1
(g∘f)(2) = (-1)² + 1
(g∘f)(2) = 2
f(a) = 3 - 2a
(g∘f)(a) =2
(3 - 2a)² + 1 = 2
9 - 12a +4a² + 1 = 2
4a² - 12a + 8 = 0
a² - 3a + 2 = 0
(a - 2)(a-1) = 0
a = 2 atau a = 1