Fungsi f : R = R didefinisikan f(x) = 4x - 7 / 3 - x, x tak boleh = 3. Invers dari f(x) adalah f pangkat -1 (x) =

jawab

f(x)= (4x - 7)/(3 - x)

y = (4x - 7)/( 3 - x)

4x - 7 = y(3 - x)
4x - 7 = 3y - xy
4x + xy = 7 + 3y
x(4 + y) = (7 + 3y)
x  = (7 + 3y)/(4 + y)

f⁻¹ (x) = (3x + 7)/(x + 4)