# How do you find the domain and range of #y =sqrt(x-2) / (6+x)#?

##### 1 Answer

Apr 24, 2015

You need to ensure that:

1] the denominator is different from zero, so:

2] the argument of the square root must be bigger or equal to zero, so:

These conditions are used to avoid points or intervals where your function cannot be calculated.

Finally the domain is all real

For the range I evaluated the maximum through the derivative:

The maximum is at