Question

If the inverses of two functions are both functions, will the inverse of the sum or difference of the original functions also be a function?
I need to provide examples also

Answer 1

the question is this:
if \(f\) and \(g\) are one to one functions, are \(f+g\) and \(f-g\) also one to one ?
if so, they will have an inverse that is a function

Answer 2

i am not sure what was written above, but here is an example to think about
suppose \[f(x)=x+1\] amd \[g(x)=-x+1\]
both are one to one, they are lines
but what is \[(f+g)(x)\]?

Answer 3

Or think about
f(x)=x^3
g(x)=-x
(f+g)(x)=x^3-x
and decide what you can conclude.