Question 1209870
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Fill in the blanks.


(a) If f(x) is an even function and g(x) is an even function and h(x) is an even function, then f(x) + g(x) + h(x) is an ___ function.


(b) If f(x) is an odd function and g(x) is an odd function and h(x) is an even function, then f(x)*g(x) + h(x) is an ___ function.


(c) If f(x) is an even function and g(x) is an odd function and h(x) is an odd function, then f(x)*(g(x) + h(x)) is an ___ function.


(d) If f(x) is an odd function and g(x) is an even function and h(x) is an odd function, then f(x)*g(x)*h(x) is an ___ function.
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(a)  The answer is  {{{highlight(even)}}}.


(b)  The answer is  {{{highlight(even)}}}.


(c)  The answer is  {{{highlight(odd)}}}.


(d)  The answer is {{{highlight(even)}}}.



The answer for (d) in the post by @CPhill is wrong.