Dik. :f(x) = 2x+7 / 7x-3 , x =/ (bukan sama dengan) 3/7. Dit. : f^ -1 (x) =?

jawab


f(x) = (2x + 7)/(7x - 3)

y = (2x + 7)/ (7x  -3)
y(7x -3) = 2x + 7
7 xy - 3y = 2x + 7
7xy - 2x = 3y + 7
x (7y -2)  = 3y + 7
x = (3y +7)/)7y - 2)

f⁻¹ (x) = (3x + 7)/(7x- 2) dengan x ≠ 2/7

f(x) = (ax + b)/(cx + d)

f^-1 (x) = (-dx + b)/(cx - a)

f(x) = (2x + 7)/(7x - 3)
a = 2 ; b = 7 ; c = 7 ; d = -3

f^-1 (x) = (3x + 7)/(7x - 2)