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Nonlinear Functions

SAT Math· difficulty 4/5

For which restricted domain does f(x)=x2−4f(x) = x^2 - 4 have an inverse function?

  • A

    −4≤x≤4-4 \leq x \leq 4

  • B

    All real numbers

  • C

    x≥−4x \geq -4

  • D

    x≥0x \geq 0

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Explanation

Restricting to x≥0x \geq 0 makes the parabola one-to-one, so an inverse exists.

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