diketahui f(x)=3x-2 dan g(x)=6x+1 cari nilai [tex] {f}^{ - 1} [/tex] [tex] {g}^{ - 1} [/tex] [tex] {gof}^{ - 1} (2)[/tex] [tex] {fog}^{ - 1} ( - 1)[/tex]

f(x) = 3x-2
y = 3x -2
x = (y+2)/3
f-¹(x) = (x+2) / 3

g(x)= (6x+1)
y = 6x +1
x = (y-1) /6
g-¹(x) = (x-1) /6

(gof)(x) = 6(3x-2) + 1
= 18x -12 +1
= 18x -11
y = 18x -11
x = (y+11)/18
(gof)-¹(x) = (x+11)/18
(gof) -¹(2)= (2+11)/18 = 13/18

(fog) (x) = 3(6x+1)-2
= 18x +3 -2
= 18x +1
y = 18x +1
x = (y-1) /18
(fog) -¹(x) = (x-1) /18
(fog) -¹(-1)= (-1-1)/18 = -2/18 = -1/9