Nonlinear Functions

SAT Math· difficulty 3/5

If f(x)=2xf(x) = 2x and g(x)=x+3g(x) = x + 3, what is f(g(x))g(f(x))f(g(x)) - g(f(x))?

  • A

    33

    check_circle
  • B

    00

  • C

    66

  • D

    3-3

Explanation

f(g(x))=2(x+3)=2x+6f(g(x)) = 2(x + 3) = 2x + 6. g(f(x))=2x+3g(f(x)) = 2x + 3. Difference: (2x+6)(2x+3)=3(2x + 6) - (2x + 3) = 3.

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