Question: Consider the function f: (0, infinity) -> ( - infinity, infinity) defined by f(x)=ln(x^2). Prove or disprove: a) The function f is surjective. b) The

Consider the function f: (0, infinity) -> ( - infinity, infinity) defined by f(x)=ln(x^2).

Prove or disprove:

a) The function f is surjective.

b) The function f is injective.

I think f is surjective is true and b) is false, how do I prove it?

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