If I have(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int_0^{+\infty}h(x)g(x)dx=0

[/tex]

where [tex]h(x)>0[/tex] in [tex][0,+\infty][/tex]. Can I conclude that [tex]g(x)[/tex] might be zero or an odd function in such interval?

If the condition above is still valid and I add this request:

[tex]

g(x)=(f(x)-q)

[/tex]

where [tex]f(x)[/tex] is positive function in the interval. Can I say that [tex]g(x)[/tex] must be zero anywhere?

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# Problem with in defining a function to be even or odd

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