Matematika f(x) =3x+2 g(x) =4x-5 maka g^-1of^-1=??

f(x) =3x+2 g(x) =4x-5 maka g^-1of^-1=??

f(x) = 3x + 2

f^-1(x) = (x-2)/3

g(x) = 4x - 5

g^-1(x) = (x+5)/4

(g^-1 o f^-1)(x) = g^-1(f^-1(x))

g^-1((x-2)/3) = [(x-2)/3 + 5]/4

= (x/3 - 2/3 + 5)/4

= x/12 - 2/12 + 5/4

= (x-2)/12 + 15/12

= (x-2+15)/12

= (x+13)/12

Jadi, (g^-1 o f^-1) = (x+13)/12

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