Answer
$[-0.5,\infty)$
Work Step by Step
We are given the function:
$f(x)=4x+2$
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 zero of the function:
$4x+2=0\Rightarrow 4x=-2\Rightarrow x=-0.5$
The solution of the inequality is:
$[-0.5,\infty)$
