how to answer this question?
a) show that the composite function of two one-to-one functions is also one-to-one function? how to answer this question?
a) show that the composite function of two one-to-one functions is also one-to-one function? @Mathematics

Question

jhonyy9 · Answer

so i think that is the same like when we have one square perfect like (x+1) squared and calculating we get x2+2x+1

slaaibak · Answer

no.  (x + 1) squared is NOT one-to-one.

It should go like this:

suppose you have two one-to-one functions:

f(x) = x + 1
g(x) = 2x + 3

f(g(x)) = (2x + 3) + 1 = 2x + 4  -----> one-to-one

g(f(x)) = 2(x + 1) + 3 = 2x + 5  -----> one-to-one

this shows the composite function of two one-to-one functions is also a one-to-one function.

anonymous · Answer

thanx alot guys ! its really helpful :D