Give examples of two functions f: N → Z and g: z → z such that g o f is injective but g is not injective.

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asked Jan 12, 2018 in Mathematics by sforrest072 (157,439 points) 60 409 937

Give examples of two functions f: N → Z and g: z → z such that g o f is injective but g is not injective. 
(Hint: Consider f(x) = x and g (x) = |x|)

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answered Jan 12, 2018 by mdsamim (213,225 points) 5 10 15
edited Mar 6, 2018 by Vikash Kumar
 
Best answer

Hence, gof is injective

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