Gift donations will be made to anyone who can help me with any of these:

A) For each part, find a function f: R -> R that has the desired properties: neither onto nor one-to-one

B)Under what conditions does A\\(A\\B) = B?

C)Define f:J -> N(natural numbers) where f(n) = 2n-1 for each n element of N(natural numbers).

D) Given A = {1,2,3,4,5}, B = {2,3,4,5,6,7} and C = {a,b,c,d,e} state an example of f: A ->B, g: B-> C, such that g(f(x))(the composition of g onto f) is 1-1 but g is not 1-1.

These are problems for homework that is due on Friday.

A) For each part, find a function f: R -> R that has the desired properties: neither onto nor one-to-one

B)Under what conditions does A\\(A\\B) = B?

C)Define f:J -> N(natural numbers) where f(n) = 2n-1 for each n element of N(natural numbers).

D) Given A = {1,2,3,4,5}, B = {2,3,4,5,6,7} and C = {a,b,c,d,e} state an example of f: A ->B, g: B-> C, such that g(f(x))(the composition of g onto f) is 1-1 but g is not 1-1.

These are problems for homework that is due on Friday.