1thank you
i got stuck in putting certain values like 0,1 ..etc but did not get anything
If f(x) and g(x) be two given functions with their domain as R ,then what can you say about h(x) ={ f(x)+f(-x)} {g(x)-g(-x)} ??? NOTE: {} DOES NOT represent fractional part R represents set of real numbers A.always an odd function B.always an even function c.neither even nor odd D.none of these PLEASE explain your answer ..:)
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4 Answers
62If f(x) and g(x) be two given functions with their domain as R ,then what can you say about h(x) ={ f(x)+f(-x)} {g(x)-g(-x)} ???
A.always an odd function B.always an even function c.neither even nor odd D.none of these PLEASE explain your answer ..:)
Yes see..
let us see h(-x) = { f(-x)+f(x)} {g(-x)-g(x)} = - { f(x)+f(-x)} {g(x)-g(-x)} = -h(x)
Hence this is an odd function...
162shriya..
always remember thta for odd even questions..
YOu can solve 50% + of them by simply putting -x instead of x!