# What is the domain and range of #f(x)= sqrt(x-4) + 2#?

##### 1 Answer

Oct 29, 2015

The domain is:

The range is:

#### Explanation:

The domain is all the x values where a function is defined. In this case the given function is defined as long as the value under the square root sign is greater than or equal to zero, thus:

The domain:

In interval form:

The range is the all the values of a function within its valid domain, in this case the minimum value for x is 4 which makes the square root part zero, thus:

The range:

In interval form: