a. Suppose that g is an even function of x and h is an odd function of x. Show that if g(x) + h(x) = 0 for all x then g(x) = 0 for all x and h(x) = 0 for all x. b. Use the result in part (a) to show that if f(x) = fE(x) + fo(x) is the sum of an even function fe(x) and an odd function fo(x), then fE(x) = (f(x) + f(-x))/2 and fo(x) = (f(x) – f(-x))/2. c. What is the significance of the result in part (b)?

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Q: | if x#3 6. %3D 15. Show that if the function g is defined by g(x) = if x=3 then g is not continuous…

A:

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A:

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A: Sol

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