He is asked to investigate [what the police believe to be the root of the crime (to discover the truth.)]
The first infinitive to be the root of the crime,
the understood subject is what, right?
Can the noun phrase be viewed as: The police believe what to be the root of the crime?
The second infinitive to discover the truth is a purpose adjunct,
and the understood subject is he,correct?
He became what his [friends wouldn't expect him to be] (to prove them wrong.)
the understood subject of the first infinitive to be is him , and the object of be is what , right?
Can the noun phrase be viewed as: His friends wouldn't expect him to be what.
And for the second infinitive, to prove them wrong is a purpose adjunct , and the understood subject is He,correct ?