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Nonlinear Functions

SAT Math· difficulty 4/5

For f(x)=x1/2f(x) = x^{1/2}, by what factor does f(x)f(x) change when xx is multiplied by 9?

  • A

    8181

  • B

    3\sqrt{3}

  • C

    33

    check_circle
  • D

    99

Explanation

f(9x)=(9x)1/2=3⋅x1/2=3f(x)f(9x) = (9x)^{1/2} = 3 \cdot x^{1/2} = 3 f(x).

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