I recommend drawing a sketch of the graph of f on the given domain. Do you know how to determine if a function is injective and surjective from the graph sketch?
Let A = {x∈R:x ≥ -1} and B = {x ∈ R : x ≥ -3}, and let f:A→B be given by f(x) = x^2 + 2x - 2.
Determine whether f is bijective. Does f has an inverse? Justify your answer.
So far i have
(-1)^2 + 2(-1) - 2
1 -2 -2 = -3
Domain
x ≥ -1 [-1,∞)
Range
[-3,∞)
not sure how to prove the rest