Determine the equation of the inverse of y= (-4)/(x) +1. The inverse is y= (-a)/(x-b) where a=____ and b=____

Question

Determine the equation of the inverse of
`y= (-4)/(x) +1`.

The inverse is
`y= (-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