Question

How do you find the inverse of `f(x)=(4-x)/(3x)`?

Answer 1

Solve for x and then swap x and y.

Explanation:

`y = (4-x)/(3x) -> 3xy = 4-x -> 3xy+x = 4 -> x(3y+1) = 4-> x = 4/(3y+1)`

Now we can simply sway x and y together, so our inverse function becomes `y = 4/(3x+1)`

so the inverse is `f(x) = 4/(3x+1)`