diketahui f (x):2x+1/x-3,x tidak=3.tentukan nilai k sedemikian sehinggan f invers (x)=3x+1/×-k

Kelas 10 Matematika
Bab Fungsi Komposisi

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