Inverse Functions Quiz
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Questions and Answers

If $f(x) = 3x^2 - 4$, what is the inverse function of $f$?

  • $f^{-1}(x) = rac{ ext{sqrt}(x)-4}{3}$
  • $f^{-1}(x) = rac{ ext{sqrt}(x)+4}{3}$
  • $f^{-1}(x) = rac{ ext{sqrt}(x-4)}{3}$ (correct)
  • $f^{-1}(x) = rac{ ext{sqrt}(x+4)}{3}$

    • For the function $g(x) = 2x^3 - 5$, what is the value of $g^{-1}(8)$?

  • $g^{-1}(8) = 1$
  • $g^{-1}(8) = 3$ (correct)
  • $g^{-1}(8) = 4$
  • $g^{-1}(8) = 2$

    • If $h(x) = rac{2x+1}{3}$, what is the inverse function of $h$?

  • $h^{-1}(x) = rac{3x-1}{2x}$
  • $h^{-1}(x) = 3x-1$
  • $h^{-1}(x) = 3x+1$
  • $h^{-1}(x) = rac{3x-1}{2}$ (correct)

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