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Nonlinear Functions

SAT Math· difficulty 4/5

If f(x)=1xf(x) = \frac{1}{x} and g(x)=x+2g(x) = x + 2, what is f(g(x))f(g(x))?

  • A

    1x+2\frac{1}{x + 2}

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  • B

    xx+2\frac{x}{x + 2}

  • C

    x+2x\frac{x + 2}{x}

  • D

    1x+2\frac{1}{x} + 2

Explanation

f(g(x))=1g(x)=1x+2f(g(x)) = \frac{1}{g(x)} = \frac{1}{x + 2}.

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