Posted by rodrigo on Friday, December 7, 2007 at 12:47pm.
Let f denote an odd function and g an odd function. Decide whether the function h(x)=g(x) f(x) is even or odd.

college algebra  Count Iblis, Friday, December 7, 2007 at 12:51pm
h(x) = f(x)g(x)
f(x) = f(x)
g(x) = g(x) >
f(x)g(x) = f(x)g(x) = h(x)
So:
h(x) = h(x)

college algebra  drwls, Friday, December 7, 2007 at 12:52pm
g(x)*f(x) is an even function, since both f and g change signs when x is replaced by x
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