Jika dik f(x) = 4x+6 dan ( f o g ) (x) = 12x-14, maka g-1(x)

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Jika dik f(x) = 4x+6 dan ( f o g ) (x) = 12x-14, maka g-1(x)

Jawaban Terkonfirmasi

F(x) = 4x+6
(fog) (x) = 12x -14
(fog) (x) = 4 {g(x)} +6
12x-14 = 4 {g(x)} +6
4 {g(x)} = 12x-14-6
4 {g(x)} = 12x – 20
4 {g(x)} = 4 (3x-5)
g(x) = 3x-5

g-1(x) = (x+5)/3

Jawaban Terkonfirmasi

F(x) = (fog)o g⁻¹
4x +6 = 12(g⁻¹) -14
12(g⁻¹) = 4x +20
g⁻¹ (x) = 1/12 (4x +20)= 1/12[ 4(x+5)]= 1/3 (x +5)