Dik : f(x) = 3x-5, fog(x) = 8x-13/2-x. Nilai g(x) adalah?

Kelas 10 Matematika
Bab Fungsi Komposisi

(fog) (x) = (8x - 13)/(2 - x)
f(g(x)) = (8x - 13)/(2 - x)
3 g(x) - 5 = (8x - 13)/(2 - x)
3 g(x) = ((8x - 13)/(2 - x)) + 5
g(x) = (8x - 13 + 10 - 5x)/(3 . (2 - x))
g(x) = (3x - 3)/(3 . (2 - x))
g(x) = (x - 1)/(2 - x)

permisalan,f(x)=y

3y-5=8x-13/2-x
3y=8x-13/2-x +5
3y=8x-13+5(2-x)/2-x
3y=8x-13+10-5x/2-x
3y=3x-3/2-x
y=3x-3/3(2-x)
y=3x-3/6-3x (sama" dibagi 3)
y=x-1/3-x

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


smg bermanfaatt :)