# What is the domain and range of #5/(4(x+2)^2) -1#?

##### 1 Answer

domain:

#### Explanation:

we should take a look at the denominator and notice that it resets if x=-2.

the domain: we'll compare the denominator to 0 to get

for the range: we'll find the inverse function and compare it to 0. the original function:

now we get:

we'll find the 2 roots:

for

and for

so the range is f(x)>-1