# How do you find the domain and range of #f(x) = 1/(2-e^x)#?

##### 1 Answer

Domain:

Range:

#### Explanation:

Right from the start, you can say that one value of

More epecifically, the expression **not** be equal to **zero**.

The value of

The domain of the function will thus be

The range of the function will be affected by the fact that the graph has a **vertical asymptote** at

Now, because

That happens because you have

The range of your function will thus be

graph{1/(2-e^x) [-10, 10, -5, 5]}