Question: 1. Let f:R(1,1) be a function defined by f(x)=x2+1xx. Prove that (a) f is injective; (b) f is surjective. 2. Let C be the set

1. Let f:R(1,1) be a function defined by f(x)=x2+1xx. Prove that (a) f is injective; (b) f is surjective. 2. Let C be the set of continuous function on [0,1]. Define F:CR by F(f)=01f(x)dx (a) Is F injective? (b) Is F surjective? Justify your

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