Diket f(x)=3x-6 dan g(x)=2x+a Jika (fog)(x)=(gof)(x) maka a=.. a.6 b.1 c.-1 d.-3 e.-6

[tex]fog(x) = gof(x) \\ f(g(x)) = g(f(x)) \\ f(2x + a) = g(3x - 6) \\ 3(2x + a) - 6 = 2(3x - 6) + a \\ 6x + 3a - 6 = 6x - 12 + a \\ 6x + 3a - 6 - 6x + 12 - a = 0 \\ 6x - 6x + 3a - a - 6 + 12 = 0 \\ 2a + 6 = 0 \\ 2a = - 6 \\ a = \frac{ - 6}{2} \\ a = - 3[/tex]
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