diketahui f(x)= 2x+p dan g(x)=5x+120 jika gof (x) = fog (x) tentukan nilai p

jawb

f(x) = 2x + p
g(5) = 5x + 120

gof(x)  = fog(x)
g (f(x)) = f (g(x))
g(2x +p)+ 120  = f(5x+ 120)
5(2x+p) + 120 = 2(5x+ 120) + p
10x + 5p + 120  = 10x + 240 + p
5p- p = 240 - 120
4p= 120
p= 30

gof(x) = fog(x)
g (f(x)) = f(g(x))
g (2x+p) = f (5x+120)
5 (2x+p)+120 = 2(5x+120)+p
10x+ 5p +120 = 10x+240+p
10x-10x+5p-p = 240-120
4p = 120
p =120/4
p =30
semoga membantu**