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If F and G Are Both Odd Functions Defined on (-

Question 46

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If f and g are both odd functions defined on (- If f and g are both odd functions defined on (- ,   ) , what can be said about the evenness or oddness of (a)  the sum f + g, (b)  the product fg, and (c)  the composition f   g? A)  (a)  odd,  ~~~~~~~~ (b)  even, ~~~~~~~~  (c)  odd B)  (a)  even, ~~~~~~~~  (b)  even,  ~~~~~~~~ (c)  odd C)  (a)  even,  ~~~~~~~~ (b)  odd,  ~~~~~~~~ (c)  odd D)  (a)  odd,  ~~~~~~~~ (b)  even,  ~~~~~~~~ (c)  even E)  All three are odd. , 11ee7b08_8b8b_48c6_ae82_e1fb3e33a326_TB9661_11 ) , what can be said about the evenness or oddness of (a) the sum f + g, (b) the product fg, and (c) the composition f 11ee7b0c_a182_020e_ae82_337a4da92261_TB9661_11 g?


A) (a) odd,         ~~~~~~~~ (b) even,         ~~~~~~~~ (c) odd
B) (a) even,         ~~~~~~~~ (b) even,         ~~~~~~~~ (c) odd
C) (a) even,         ~~~~~~~~ (b) odd,         ~~~~~~~~ (c) odd
D) (a) odd,         ~~~~~~~~ (b) even,         ~~~~~~~~ (c) even
E) All three are odd.

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