Nonlinear Functions

SAT Math· difficulty 5/5

Let f(x)=2xf(x) = 2x and g(x)=x+1g(x) = x + 1. What is f(g(f(g(0))))f(g(f(g(0))))?

  • A

    44

  • B

    22

  • C

    11

  • D

    66

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Explanation

Inside out: g(0)=1g(0) = 1, f(1)=2f(1) = 2, g(2)=3g(2) = 3, f(3)=6f(3) = 6.

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