# What is the domain and range for #y=-2sqrt(9-3x) +1#?

##### 1 Answer

May 17, 2015

The domain is

The domain is the subset of

In this function the only restriction for the domain is that

To calculate the range you have to look at the function. There are such things in it:

- square root of a linear function
- multiplying by
#-2# - adding one to the result

The first mentioned function has a range of

The action in 2) changes the sign of the result, so the range changes to

The last action moves the range 1 unit up, so the upper boundary changes from