Dear all

can I ask how I can solve f(x) = x+1 if x < 0 , x^2 - 1 if x >=0.

State f is injective, surjective or bijective. Write down tow different inverses of the appropriate kind for f.

I can draw the graph. and know what surjective and injective. but how can I solve it?

The answer says it is surjective, but can it be also injective?

Sorry, but help me