These three diagrams illustrate the root position (1 3 5), first inversion (3 5 1), and second inversion (5 1 3) of the F chord.
This example shows the root position, first inversion, second inversion, and an octave of the root position of the F chord.
One of the reasons inversions are so useful is that they enable you to find chord shapes which are close together on the keyboard. Here the C chord appears in root position, the F chord is in second inversion and the G chord is in first inversion. The left hand plays the root note of each chord.
Here are some examples showing typical uses of these inversions. Notice how much easier the chord changes are. By using inversions which are close together, it leaves you free to concentrate on other important things such as rhythm.