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

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Give examples of two functions f: N→Z and g: Z→Z such that gof is injective, but g is not injective. Give examples of two functions f: N→Z and g: Z→Z such that gof is injective, but g is not injective.
Give examples of two functions `f: N->,Z a n dg: Z->,Z` such that go f is injective but g is... Give examples of two functions `f: N->,Z a n dg: Z->,Z` such that go f is injective but g is...
Proof that if g o f is Injective(one-to-one) then f is Injective(one-to-one) Proof that if g o f is Injective(one-to-one) then f is Injective(one-to-one)
INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS INJECTIVE, SURJECTIVE, and BIJECTIVE FUNCTIONS - DISCRETE MATHEMATICS
Q7 Misc Ex Ch 1 R&F XII Maths Give examples of two functions f : N → N and g : N → N such that g of Q7 Misc Ex Ch 1 R&F XII Maths Give examples of two functions f : N → N and g : N → N such that g of
Give examples of two functions f: N → N and g: N → N such that gof is onto, but f is not onto. Give examples of two functions f: N → N and g: N → N such that gof is onto, but f is not onto.
Proof that if g o f is Surjective(Onto) then g is Surjective(Onto) Proof that if g o f is Surjective(Onto) then g is Surjective(Onto)
Given examples of two functions `f: N ->,N a n dg: N->,N` such that g o f is onto but f is n... Given examples of two functions `f: N ->,N a n dg: N->,N` such that g o f is onto but f is n...