# Question #8e6ef

##### 1 Answer

To find the inverse of any function, you can follow these general steps:

1) ** Change the function notation f(x), g(x) etc. to y = **

2) ** Interchange x and y **: that is, swap the x's and the y's

3) ** Isolate for y **

4) **Put inverse back into function notation using # f^(-1)(x) # to represent the inverse **

#### Explanation:

In your example you have

1) ** Change the function notation f(x), g(x) etc. to y = **:

Simple: Let h(x) = y and thus,

2) ** Interchange x and y **: that is, swap the x's and the y's:

3) ** Isolate for y **:

Subtract 1 from both sides:

Multiply by (-y-3) on both sides to get y on top and on the left:

Divide by (x-1) on both sides:

Add 3 to both sides:

-y = 4/(x-1)+3

Now, divide by -1 on both sides to get:

4) **Put inverse back into function notation using # f^(-1)(x) # to represent the inverse **:

And that's your inverse! Hopefully things were clear! Should you have any questions, feel free to ask! :)