A brilliant first half performance was the catalyst for City to claim all three points at Molineux, where the hosts staged a second half fight-back to cause Pep Guardiola’s side some concern.
City led 2-0 at the break, with Kevin De Bruyne opening the scoring from the penalty spot after he was tripped by Romain Saiss, before a flowing passing move saw Raheem Sterling square for Phil Foden to tap home.
Wolves rallied after the break and Daniel Podence and Raul Jimenez both spurned chances before the Mexican striker planted a header past Ederson to set up a nervy finale.
However, City held firm, with Gabriel Jesus sealing the points with a deflected effort deep into added time.
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