Question

1. diketahui fungsi f(x) = 3x - 5 dan g(x) = 2x + 1 . tentukan :
a. ( f o g ) (x)
b. ( f o g ) (2)
c. ( g o f ) (x)
d. ( g o f ) (6)

Answer 1

F(x) = 3x - 5, g(x) = 2x + 1

a. (f o g) (x) = f{g(x)}
= 3(2x + 1) - 5
= 6x + 3 - 5
= 6x - 2

b. (f o g) (2) = 6(2) - 2
= 12 - 2
= 10

c. (g o f) (x) = g{f(x)}
= 2(3x - 5) + 1
= 6x - 10 + 1
= 6x - 9

d. (g o f) (6) = 6(6) - 9
= 36 - 9
= 27