# What is the domain of #h(x) = (2x^2 + 5 )/ (sqrt(x-2))#?

##### 1 Answer

Sep 6, 2015

Domain:

#### Explanation:

In order to find the domain of **must be positive** for real numbers.

In other words, you cannot take the square root of a negative real number and get another real number as a solution.

Moreover, the expression under the square root **cannot** be equal to zero, since that would make the denominator equal to zero.

So, you need to have

#x - 2>0 implies x > 2#

In interval notation, the domain of the function is