Using completeness relation to find <Omega>=0

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I am stuck on this Self-test 1.6 in molecular quantum mechanics by atkins and friedman.
Probably making use of the completeness relation the question is the following: Show that if <Ωf>*=-Ωf*, then <Ω>=0 for any real function f.
Anyone got a clue?
 
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Hi ChemicalTom
The self test 1.6 in the book you mentioned, is different from the problem you've posted. I'm using fourth edition... correct me if I'm wrong...

Regards
 
In the 4th edition it's the self-test 1.9 on page 33.
 
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Hi Phoenix95 I am using the fifth editon.
 
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