Find the inverse of the function y = - 3 / x + 4

The procedure for an inverse is to interchange x and y and solve for y

x = - 3/y + 4 I'm solving this as it is written and not x = - 3 / (y + 4) Subtract 4

x - 4 = - 3/y

y (x - 4) = - 3

y = - 3 / (x - 4)

If you did mean y = - 3 / (x + 4) then the inverse would be

x = - 3 / (y + 4)

x * (y + 4) = - 3

y + 4 = - 3/x

y = - 3/x + 4

Amazing! The inverse is the same as the original question.

Y=4-3/x

y-4=-3/x

(y-4) x=-3

x (y-4) = - 3

x=-3/y-4

there's you answer