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Nonlinear Functions

SAT Math· difficulty 4/5

If (2,5)(2, 5) is on the graph of y=f(x)y = f(x), which point must be on the graph of y=f−1(x)y = f^{-1}(x)?

  • A

    (5,2)(5, 2)

    check_circle
  • B

    (−5,−2)(-5, -2)

  • C

    (−2,−5)(-2, -5)

  • D

    (2,5)(2, 5)

Explanation

The inverse swaps coordinates: if (a,b)(a, b) is on ff, then (b,a)(b, a) is on f−1f^{-1}.

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