# How do you find the domain of h(x)= sqrt(x-1)?

Jun 22, 2015

The domain is x in [1;+oo)

#### Explanation:

The domain is maximum subset of $\mathbb{R}$ for which expression is defined. In this case the limitation of a domain is, that the expression under square root sign must be greater than or equal to zero (the square root of a negative number is not a real number).

So in this case we get:

$x - 1 \ge 0$

$x \ge 1$