f(g(x)) = f(3x+120)
f(3x+120) = 2(3x+120)+p
= 6x+240+p
g(f(x)) = g(2x+p)
g(2x+p) = 3(2x+p)+120
= 6x + 3p + 120
g(f(x)) = f(g(x))
g(2x+p) = f(3x+120)
6x+240+p = 6x+3p+120
240+p = 3p+120
120 = 2p
p = 60 (B)
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f(g(x)) = f(3x+120)
f(3x+120) = 2(3x+120)+p
= 6x+240+p
g(f(x)) = g(2x+p)
g(2x+p) = 3(2x+p)+120
= 6x + 3p + 120
g(f(x)) = f(g(x))
g(2x+p) = f(3x+120)
6x+240+p = 6x+3p+120
240+p = 3p+120
120 = 2p
p = 60 (B)