# Consider the function f(x)=sqrt(5x-5)+1. Which inequality is used to find the domain?

Nov 21, 2016

The domain is D_f(x) in [1, oo[

#### Explanation:

$f \left(x\right) = \sqrt{5 x - 5} + 1$

To find the domain, we look what's under the square root sign.

$5 x - 5 \ge 0$

$5 x \ge 5$

$x \ge 1$

Therefore the domain of $f \left(x\right)$ is

D_f(x) in [1, oo[