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Nonlinear Functions

SAT Math· difficulty 3/5

If f(x)=x2−1f(x) = x^2 - 1 and g(x)=x+2g(x) = x + 2, what is g(f(x))g(f(x))?

  • A

    (x+2)2−1(x + 2)^2 - 1

  • B

    x2−1x^2 - 1

  • C

    x2+2x^2 + 2

  • D

    x2+1x^2 + 1

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Explanation

g(f(x))=f(x)+2=(x2−1)+2=x2+1g(f(x)) = f(x) + 2 = (x^2 - 1) + 2 = x^2 + 1.

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