Phrasal Verb Fun

go
(go, went, gone)
Go generally means 'move', often in the direction away from me. It also
means 'function'
go after
John went after Jane for months, and finally she said yes.
(Another version)
John went after Jane for months, and she finally caught him.
Usually,
after
means later in time
To go after something means to follow it. First, the escaped prisoner was
in the wood, and then the dogs were there. The dogs were there after the
prisoner was.
Now, to go after something means to pursue it, to hunt it, to chase it.
Steven went after that job for a long time. I don't know if he got it.
Compare this with
come after
.
Inseparable two-word verb
No problem.
go ahead
Ahead
is an old word for forward, the direction in which we are going.
I asked my boss about whether I should go to our other factory to look at

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the problem. He told me to go ahead.
When we say Go ahead! we giving permission to go, just like a green
traffic light.
Two-word verb without an object
. No problem.