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Linear Functions

SAT Math· difficulty 3/5

If f(x)=x+4f(x) = x + 4 and g(x)=2xg(x) = 2x, then g(f(x))−f(g(x))g(f(x)) - f(g(x)) equals

  • A

    −4-4

  • B

    00

  • C

    88

  • D

    44

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Explanation

g(f(x))=2(x+4)=2x+8g(f(x)) = 2(x+4) = 2x+8. f(g(x))=2x+4f(g(x)) = 2x + 4. Difference: 44.

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