Answer:
f^-1(x) = (4x +3)/(1 -x)
Step-by-step explanation:
Solve for y:
f(y) = x
(y -3)/(y +4) = x
y -3 = xy +4x . . . . . . multiply by y+4
y -xy = 4x +3 . . . . . . add 3-xy
y(1 -x) = 4x +3 . . . . . factor out y
y = (4x +3)/(1 -x) . . . divide by the coefficient of y
The inverse function is ...
f^-1(x) = (4x +3)/(1 -x)
