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2008 AMC 12A Question 12

AMC12 · 2008 AMC 12A

Question 12

A function $f$ has domain $[0, 2]$ and range $[0, 1].$ (The notation $[a, b]$ denotes $\{x : a \le x \le b\}.$) What are the domain and range, respectively, of the function $g$ defined by $$
g(x) = 1 - f(x + 1)?
$$
  1. $[-1, 1],$ $[-1, 0]$
  2. $[-1, 1],$ $[0, 1]$
  3. $[0, 2],$ $[-1, 0]$
  4. $[1, 3],$ $[-1, 0]$
  5. $[1, 3],$ $[0, 1]$