Yet another problem I need to get some starting help on:(adsbygoogle = window.adsbygoogle || []).push({});

Show that the set of continuous functions f=f(x) on [a,b] such that[tex]\int \limits_a^b f(x) dx=0[/tex]is a subspace of C[a,b]

Thank you

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Subspaces of functions

**Physics Forums | Science Articles, Homework Help, Discussion**