diketahui =(f^-1°g^-1)(x) = 3x-4 dan f(x) = 3-5x hitunglah g(2)

(f-¹og-¹)(x) = (gof)-¹(x)

(gof)-¹(x) = 3x-4
inverskan maka nilai invers (gof) (x) hilang
y = 3x - 4
3x = y+4
x = y+4 / 3
(gof) (x) = x+4 / 3

(gof) (x) = x+4 / 3
g(3-5x) = x+4 / 3
misal
t = 3-5x
5x = 3-t
x = 3-t / 5
g(x) = (3-t / 5) + 4 / 3
g(x) = (3-x / 5) + 4 / 3

g(2)=[ (3-2 / 5) + 4 ] / 3
= 1/5 + 4 bagi 3
= 21 / 5 x 1/3
=21/15
=7/5

jadi nilai g(2)=7/5

fungsi invers

(f⁻¹ o g⁻¹) (x)= 3x -4 --> (gof)⁻¹(x) = 3x-4
(gof)(3x-4) = x
g{ 3 - 5(3x-4)) = x
g(3- 15x + 20) = x
g(23 -15x) = x
g(2) = ...
23 -15x= 2
-15x = -21
x = 21/15
x= 7/5
g(2) = 7/5