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anonymous
 one year ago
Suppose that f is even and g is odd.
a. Show that f o g is even.
B. show that g o f is even .
anonymous
 one year ago
Suppose that f is even and g is odd. a. Show that f o g is even. B. show that g o f is even .

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zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hey Conad :) If f(x) is an even function, it satisfies this property: f(x) = f(x). If g(x) is an odd function, it satisfies this property: g(x) = g(x). So what happens when you take their composition. f(g(x)) = ? Well again, let's plug in the negative x and see what happens to the whole thing: =f(g(x)) Since g is an odd function, g(x) will become g(x). =f(g(x)) Since f is an even function, f(stuff) will become f(stuff). =f(g(x)) So we just showed that f(g(x)) = f(g(x)) = f(g(x)). The same property that even functions have.
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