Hello,
Let f: ]1, +inf[ → ]0, +inf[ be defined by f(x)=x^2 +2x +1.
I am trying to prove f is injective.
Let a,b be in ]1, +inf[ and suppose f(a) = f(b).
Then, a^2 + 2a + 1 = b^2 + 2b + 1.
How do I solve this equation such that I end up with a = b?
Solution:
(a + 1) ^2 = (b + 1)^2...