Inverse Functions and Domain Quiz

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Questions and Answers

What is the inverse function of $f(x) = \frac{3x+4}{2x-1}$?

  • $f^{-1}(x) = \frac{3x+4}{2x-1}$
  • $f^{-1}(x) = \frac{1-2x}{3x+4}$
  • $f^{-1}(x) = \frac{4x+3}{1-2x}$ (correct)
  • $f^{-1}(x) = \frac{2x-1}{3x+4}$

What is the value of $f^{-1}(2)$ for the function $f(x) = \frac{3x+4}{2x-1}$?

  • $f^{-1}(2) = \frac{3}{5}$
  • $f^{-1}(2) = -\frac{3}{5}$
  • $f^{-1}(2) = -\frac{5}{3}$ (correct)
  • $f^{-1}(2) = \frac{5}{3}$

What is the domain of the function $f(x) = \frac{3x+4}{2x-1}$?

  • All real numbers except $x=-\frac{4}{3}$
  • All real numbers except $x=\frac{4}{3}$
  • All real numbers except $x=\frac{1}{2}$
  • All real numbers except $x=-\frac{1}{2}$ (correct)

What is the value of $f^{-1}(2)$ for the function $f(x) = \frac{3x+4}{2x-1}$?

<p>$f^{-1}(2) = -\frac{5}{3}$ (B)</p> Signup and view all the answers

What is the inverse function of $f(x) = \frac{3x+4}{2x-1}$?

<p>$f^{-1}(x) = \frac{4x+3}{1-2x}$ (D)</p> Signup and view all the answers

What is the domain of the function $f(x) = \frac{3x+4}{2x-1}$?

<p>$x \neq \frac{1}{2}$ (D)</p> Signup and view all the answers

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