Diketahui f(x)=6x-12 dan g(x)=4x+2a. Bila (fog)(x)=(gof)(x) maka a adalah

langsung aja yy

(fog)(x) = f{g(x)}
= 6g(x) - 12
= 6(4x + 2a) - 12
= 24x + 12a - 12

(gof)(x) = g{f(x)}
= 4f(x) + 2a
= 4(6x -12) + 2a
= 24x - 48 + 2a
= 24x + 2a - 48

maka

(fog)(x) = (gof)(x)

24x + 12a - 12 = 24x + 2a - 48

24x - 24x + 12a - 2a - 12 + 48 = 0

10a + 36 = 0

10a = -36

a = -3,6

semoga berguna +_+

f (x) = 6x - 12
g (x) = 4x + 2a

fog (x) = gof (x)
f (g (x)) = g (f (x))
f (4x + 2a) = g (6x - 12)
6 (4x + 2a) - 12 = 4 (6x - 12) + 2a
24x + 12a - 12 = 24x - 48 + 2a
12a - 2a = 24x - 24x - 48 + 12
10a = -36
a = -36/10
a = -3,6