Hello all,I am learning the song "Somewhere Out There" arranged by Fred Kern who wrote a self help book.For the left hand he has an F half note.Directly to the right of that half note is a dotted half note G that has a dotted half note C directly underneath it.The next note is a quarter note E.Then a quarter note rest.The piece is in 4/4 time.Could someone please count this out for me as I am very confused with this measure. Thank you.

From the information you've given, it seems to me that there are two "voices" or lines going on at the same time :
- voice one : the first half note starts on the first beat, and is followed by a quarter note then a quarter-note rest = four beats
- voice two : the dotted half-note, G and the dotted-half note C start, together, on the second beat and get three beats, although there should be a quarter-note rest on the first beat of this "voice" to give a total of four beats.

This is all I can "guess" from your description and without seeing the score.

Regards,

Think of it this way - there are 4 beats in each measure. In this case, you have three things going on:

1 - Dotted Half G that lasts 3 beats, then a beat of rest
2 - Dotted Half C that lasts 3 beats, then a beat of rest
3 - Half F for 2 beats, then an E for 1 beat, then a beat of rest

Put differently:

Beat 1 - CFG
Beat 2 - still holding CFG
Beat 3 - holding CG but the middle note changes to E
Beat 4 - rest

What do you mean by "directly to the right"?
Do you mean essentially touching the note or the next note along?
Really hard to tell without seeing the actual score.