Answer
$[1,\infty)$
Work Step by Step
We are given the function:
$f(x)=\sqrt{x-1}$
Graph the function.
The solution of the inequality $f(x)\geq 0$ consists of the values of $x$ for which the graph of the function is above the $x$-axis.
Determine the zeroes of the function:
$\sqrt{x-1}=0\Rightarrow x-1=0\Rightarrow x=1$
The solution of the inequality is:
$[1,\infty)$