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Nonlinear Functions

SAT Math· difficulty 4/5

If f(x)=2x+3f(x) = 2x + 3 and g(x)=x2g(x) = x^2, what is f(g(x))−g(f(x))f(g(x)) - g(f(x)) when x=0x = 0?

  • A

    −6-6

    check_circle
  • B

    33

  • C

    66

  • D

    00

Explanation

f(g(0))=f(0)=3f(g(0)) = f(0) = 3. g(f(0))=g(3)=9g(f(0)) = g(3) = 9. Difference: 3−9=−63 - 9 = -6.

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