1. Diketahui f(x) = x + 2 dan g(x) = x2 - x + 2, Tentukan : a. (f o g)(x) b. (g o f)(x) c. (f o g)(2)

1. Diketahui f(x) = x + 2 dan g(x) = x2 - x + 2, Tentukan :
a. (f o g)(x) = (g(x)) + 2= x²-x+4

b. (g o f)(x) = (f(x))²-f(x) + 2
= (x+2)²-(x+2)+2
= x²+4x+4-x-2+2
= x²+3x+4

c. (f o g)(2) = 2²-2+4= 6

Bab Fungsi

a. (f o g)(x)
= f(g(x))
= f(x^2 - x + 2)
= x^2 - x + 2 + 2
= x^2 - x + 4

b . (g o f)(x)
= g(f(x))
= g(x + 2)
= (x + 2)^2 - (x + 2) + 2
= (x^2 + 2x + 2x + 4) - x - 2 + 2
= x^2 + 4x + 4 - x
= x^2 + 3x + 4

c. (f o g)(2)
= (2)^2 - (2) + 4
= 4 - 2 + 4
= 6