Arrange the equations in the correct sequence to find the inverse of f (x) = y=3x/8+x

To find the inverse of the the function, it must be arranged in such a way that the independent variable be on the left side and the dependent variable on the right. So,

f (x) = y = 3x / (8 + x)

y (8 + x) = 3x

8y + xy = 3x

8y = 3x - xy

8y = x (3 - y)

8y / (3-y) = x

x = 8y / (3 - y)

Therefore,

f - (x) = f (y) = x = 8y / (3 - y)