If f(x) and g(x) are be two functions with all real numbers as their domains, then h(x) =[f(x) +f(-x)][g(x) -g(-x)] is
always an odd function
an odd function with both f and g are odd
an odd function when f is even and g is odd
always an even function
A
always an even function
B
an odd function when f is even and g is odd
C
always an odd function
D
an odd function with both f and g are odd
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