(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

V is the set of functions R -> R; pointwise addition and (a.f)(x) = f(ax) for all x.

is V a vector space given the operations?

2. Relevant equations

nil.

3. The attempt at a solution

i think it is not closed under multiplication.

if r is an element of R, then

r*a(x) . r*f(x) = (r^2)*(a.f)(x)

which is not equal to

r*f(ax)

im not really sure if i even have the correct approach.

any help would be greatly appreciated.

thanks!

**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!

# Homework Help: Vector spaces of functions

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