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Homework Statement
f : R+ → R+ defined by f(x) = 2x
h : R+ → N defined by h(x) = ⌊x⌋ (the largest integer ≤ x)
g : 2ᴿ → 2ᴿ defined by g(A) = A ∪ [0,1]
Homework Equations
The Attempt at a Solution
I know that every element of the domain has to correspond to exactly one element on the co-domain {range?}. But not sure how to determine if it satisfies the condition of one-to-one and its range.