I want to show f(x) =x/(x+2) is injective.

I know I need to assume a is not equal to a' but f(a)=f(a') and find contradiction.

Here is my start:

Assume a not equal to a'.

f(a)=a/(a+2)

f(a')=a'/(a'+2)

Now I'm not sure where to go with this?

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- October 29th 2008, 05:31 PMkathrynmathShow f(x) is injective
I want to show f(x) =x/(x+2) is injective.

I know I need to assume a is not equal to a' but f(a)=f(a') and find contradiction.

Here is my start:

Assume a not equal to a'.

f(a)=a/(a+2)

f(a')=a'/(a'+2)

Now I'm not sure where to go with this? - October 29th 2008, 09:34 PMCaptainBlack