Linear Functions

SAT Math· difficulty 3/5

Let f(x)=4x8f(x) = 4x - 8. What is f1(x)f^{-1}(x)?

  • A

    x84\dfrac{x - 8}{4}

  • B

    4x+84x + 8

  • C

    14x8\dfrac{1}{4x - 8}

  • D

    x+84\dfrac{x + 8}{4}

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Explanation

Solve y=4x8y = 4x - 8 for xx: x=(y+8)/4x = (y+8)/4. So f1(x)=(x+8)/4f^{-1}(x) = (x+8)/4.

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