Question

Diketahui f(x) = 2x + p dan g(x) = 3x - 6 . jika (f ₀ g)(x) = (g ₀ f)(x) , nilai p yang memenuhi ?

Answer 1

2(3x-6)+p = 3(2x+p)-6
6x-12+p=6x+3p-6
-12+6=3p-p
-6=2p
p=-3

Answer 2

F(x) = 2x + p
g(x) = 3x - 6

2x + p  =  3x - 6
2 g(x) + p  =  3 f(x) - 6
2 ( 3x-6 ) + p  =  3 ( 2x + p ) - 6
6x - 12 + p  =  6x + 3p - 6
6x - 6x -12 + 6  =  3p - p
-6  =  2p
2p  = -6
p  =  -6/2
=  -3