Question

F(x) =3x-4
g(x) =2x+p
(f°g) (x)=(g°f) (x)
Maka nilai p adalah?

Answer 1

I. fog(x) = f(g(x))
= f(2x+p)
= 3(2x+p)-4
= 6x+3p-4
ii. gof(x) = g(f(x))
= g(3x-4)
= 2(3x-4)+p
= 6x-8+p

fog(x) = gof(x)
6x+3p-4 = 6x-8+p
3p-p = -8+4
2p = -4
p = -2