jika f(x) = 2x-6 dan g-1(x) = x-5/4 maka (fog) (2) =...
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Pertanyaan
jika f(x) = 2x-6 dan g-1(x) = x-5/4 maka (fog) (2) =...
2 Jawaban
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1. Jawaban bapakdr
g-1(x) = (x-5)/4
y = (x - 5)/4
4y = x - 5
4y + 5 = x
x = 4y + 5
g(x) = 4x + 5
fog(x) = 2(4x + 5) - 6 = 8x+ 10 - 6
fog(x) = 8x + 4
fog(2) = 8(2) + 4 = 20 -
2. Jawaban arsetpopeye
g^-1(x) = (x - 5)/4 => untuk mencari g(x) kita inversnya lagi
(x - 5)/4 = y
x - 5 = 4y
x = 4y + 5
g(x) = 4x + 5
g(2) = 4(2) + 5 = 13
(f o g)(2) = f(g(2)) = f(13) = 2(13) - 6 = 20