Which inverse scale function translation transform is used to get the image with function y = 2x-5 / x-3

Which inverse scale function translation transform is used to get the image with function y = 2x-5 / x-3

Reduce to y = (2x-6 + 1) / (x-3) = (2x-6) / (x-3) + 1 / (x-3) = 2 + 1 / (x-3)
Is the inverse proportional function y = 1 / X