Hey there!
The solutions to your graphed equation will be the points of intersection between your curve and your line, or f(x) and g(x).
You have three points of intersection; from left to right, the x's of these points look to be –2.4, 1.4, and 3.9. I think these values are the closest, since these points are between –2 and –3, 1 and 2, and 3 and 4, respectively.
Hope this helped you out! :-)