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Nonlinear Functions

SAT Math· difficulty 3/5

If f(x)=x+1f(x) = x + 1 and g(x)=x2g(x) = x^2, what is g(f(x))g(f(x))?

  • A

    x2+2xx^2 + 2x

  • B

    x2+1x^2 + 1

  • C

    x2+xx^2 + x

  • D

    (x+1)2(x + 1)^2

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Explanation

g(f(x))=(f(x))2=(x+1)2g(f(x)) = (f(x))^2 = (x + 1)^2.

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