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2004 AMC 12B Question 13

AMC12 · 2004 AMC 12B

Question 13

If $f(x) = ax + b$ and $f^{-1}(x) = bx + a$ with $a$ and $b$ real, what is the value of $a + b?$
  1. $-2$
  2. $-1$
  3. $0$
  4. $1$
  5. $2$