Jika f(3x-5) =7x + 2, maka f-1(x) =....?

Kelas 10 Matematika
Bab Fungsi Komposisi

f(3x - 5) = 7x + 2
f(3 . x/3 - 5) = 7 . x/3 + 2
f(x - 5) = 7x/3 + 6/3
f(x + 5 - 5) = (7 (x + 5) + 6)/3
f(x) = (7x + 35 + 6)/3
f(x) = (7x + 41)/3
y = (7x + 41)/3
3y = 7x + 41
3y - 41 = 7x
x = (3y - 41)/7
f^-1 (x) = (3x - 41)/7

f (3x -5) = 7x +2
f (3x -5) = 7/3(3x -5) + 35/3 +2
f (3x -5) = 7/3(3x -5) + 41/3
f (x) = 7/3x + 41/3
y = 7/3x + 41/3
7/3x = y - 41/3
x = (y -41/3).3/7
x = (3/7)y -41/7
f-1(x) = (3/7)x -41/7