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Nonlinear Functions

SAT Math· difficulty 4/5

If ff is even, then which of the following is also even?

  • A

    g(x)=f(x)+xg(x) = f(x) + x

  • B

    g(x)=x⋅f(x)g(x) = x \cdot f(x)

  • C

    g(x)=f(x−1)g(x) = f(x - 1)

  • D

    g(x)=f(x)+5g(x) = f(x) + 5

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Explanation

g(−x)=f(−x)+5=f(x)+5=g(x)g(-x) = f(-x) + 5 = f(x) + 5 = g(x). So gg is even.

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