Answer:
Check it down.
Step-by-step explanation:
Injective functions or One to one functions are functions in each one element of A set is is mapped to another element of B set
1) Let's start by listing supposition and their respective Reasons
Suppose:
[tex]g\circ f[/tex] is injective then [tex]f:A\rightarrow B[/tex] is also injective.
Reason: Given
2) Since we are dealing with injective (one to one) functions, we can rightly proceed:
[tex]f(x)=f(y) \:such \:as\: x,y \in A[/tex]
[tex]g(f(x))=g(f(y))[/tex]
Given the fact that [tex]g\circ f[/tex]
[tex]x=y[/tex]
Then we can say that since [tex]g\circ f[/tex] f: A is an injective too ("one to one" ) function.
