# Math Help - Can subtraction be defined as the inverse function of addition?

1. ## Can subtraction be defined as the inverse function of addition?

Can you define adding 1 to be: f(x) = x + 1 and then define subtracting 1 as the inverse function, f^-1(x) ? (Provided you proceed to define addition inductively)

2. well since f(x)=x+1 so x=y-1. moreover 'f' is bijective from R to R. so guess you are right.

3. So I guess it could be defined that way but I don't see any advantage over other definitions.

4. Originally Posted by lamp23
So I guess it could be defined that way but I don't see any advantage over other definitions.
ya thats a different thing though..

5. Actually some books do talk about x+1 as being the "sucessor function" so maybe it's helpful to think of the operations as functions instead of separate ideas