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Nonlinear Functions

SAT Math· difficulty 5/5

If f(x)f(x) is odd and g(x)=f(x)2g(x) = f(x)^2, what is gg?

  • A

    Odd

  • B

    Both

  • C

    Even

    check_circle
  • D

    Neither

Explanation

g(−x)=f(−x)2=(−f(x))2=f(x)2=g(x)g(-x) = f(-x)^2 = (-f(x))^2 = f(x)^2 = g(x). So gg is even.

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