Question

Determine the equation of the inverse of $y= \frac{-4}{x} +1$.
The inverse is $y= \frac{-a}{x-b}$ where a=____ and b=____

Answer 1

Considering the equation 
y= (-4/x) +1
interchanging the variables x and y
x = (-4/y) +1
Solving for y
(-4/y) = x-1
      -4 = (x-1)y
         y = -4/ (x-1)
Thus, the value of a = 4 and b= 1