1. Ashlyn Gilson’s POTW Solution

2. First, find f(f(f(0))) and f(f(f(1))) when f(x)= ax+b f(0) = b f(f(0))= ab+b f(f(f(0)))=a 2 b+ab+b and f(1) = a+b f(f(1))=a 2 +ab+b f(f(f(1)))=a 3 +a 2 b+ab+b

3. Then, set up an equation to solve for the variables. a 3 +a 2 b+ab+b – (a 2 b+ab+b) = 29 – 2 Then simplify a 3 =27 a=3 Then plug a into one of the equations to find b : a 2 b+ab+b=2 9b+3b+b=2 13b=2 b= 2/13 FINAL ANSWER: a=3 and b=2/13