diketahui (fog) (x) = 12×-2 dan f (x) = 4×+2 Tentukan g (x)
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(f o g)(x) = 12x - 2
f( g(x) ) = 12x - 2
f( g(x) ) = 4g(x) + 2
12x - 2 = 4g(x) + 2
12x - 2 - 2 = 4g(x)
12x - 4 = 4g(x)
g(x) = (12x - 4) ÷ 4
g(x) = 3x - 1
Penjelasan dengan langkah-langkah:
(fog) (x) = 12x-2 dan f (x) = 4x+2
g(x) = ax + b
(fog)(x) = f(g(x))
12x-2 = 4(ax+b)+2
12x-2 = 4ax+4b+2
samakan ruas kiri dan kanan.
4a = 12
a = 3
4b +2 = -2
4b = -4
b = -1
g(x) = ax + b
g(x) = 3x -1
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