Question

What is the inverse of `f(x)=2/(x+3)`?

Answer 1

`f^-1(x)= (2- 3x)/x`

Explanation:

The inverse can be obtained by switching the `x` and `y` values within the function.

`y = 2/(x + 3) -> f^-1(x) -> x = 2/(y + 3)`

`x = 2/(y + 3)`

`x(y + 3) =2`

`xy + 3x = 2`

`xy = 2 - 3x`

`y = (2 - 3x)/x, x!= 0`

Hopefully this helps!