We are given the following function:
f(x) = 4/(x+2) - 2
We are asked to determine the inverse of this function. To do that we will first change the "f(x)" for "y":
Now we will switch "x" and "y", like this:
Now we will solve for "y", first by adding 2 to both sides:
Now we multiply both sides by "y+2":
Now we divide both sides by "x+2":
Now we subtract 2 to both sides:
Now we change "y" for the inverse of f(x), that is:
And thus we found the inverse. A similar procedure can be used for function 2.