Question

Question #d2def

Answer 1

`f^-1 = 6/(x-3)`

Explanation:

The format is not very clear, I will assume it is
`f(x) = 6/x + 3, "rather than" 6/(x+3)`

There is a very clear method for finding an inverse of a function.
1. Write `f(x) " as " y`
2. Swop x and y
3. Make y the subject of the formula.
4. Write `y" as " f^-1(x)`

`f(x) = 6/x + 3, rArr y = 6/x +3`

`x = 6/y +3`
`x - 3 = 6/y`
`y(x-3) = 6`
`y = 6/(x-3)`

`f^-1 = 6/(x-3)`