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Linear Functions

SAT Math· difficulty 3/5

If f(x)=2x−1f(x) = 2x - 1 and g(x)=3−xg(x) = 3 - x, what is f(g(x))f(g(x))?

  • A

    2x+52x + 5

  • B

    5−2x5 - 2x

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  • C

    5+2x5 + 2x

  • D

    2x−72x - 7

Explanation

f(g(x))=2(3−x)−1=6−2x−1=5−2xf(g(x)) = 2(3 - x) - 1 = 6 - 2x - 1 = 5 - 2x.

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