Linear Functions

SAT Math· difficulty 5/5

Suppose ff and gg are linear with f(g(0))=7f(g(0)) = 7, f(g(2))=13f(g(2)) = 13, and g(x)=3x+1g(x) = 3x + 1. What is f(7)f(7)?

  • A

    55

  • B

    77

  • C

    1313

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  • D

    1010

Explanation

g(0)=1g(0) = 1, so f(1)=7f(1) = 7. g(2)=7g(2) = 7, so f(7)=13f(7) = 13.

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