Question

Fungsi f : R>R dan g : R>R dengan f(x)=2x+2 dan g(x)=f(2x-3), maka (gof) (x) adalah....
Mohon bantuannya yaa

Answer 1

F(x) = 2x + 2
g(x) = f(2x - 3) = 2(2x - 3) + 2 = 4x - 6 + 2 = 4x - 4
(g o f)(x) = g(f(x)) = g(2x + 2) = 4(2x + 2) - 4 = 8x + 8 - 4 = 8x + 4

Answer 2

f (x) = 2x + 2   dan g (x) = f (2x - 3)

g (x) = f (2x - 3)
         = 2 (2x - 3) + 2
         = 4x - 6 + 2
         = 4x - 4

(gof) (x) = g (f (x))
               = g (2x + 2)
               = 4 (2x + 2) - 4
               = 8x + 8 - 4
               = 8x + 4