Inverse Functions and Domain Quiz

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6 Questions

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

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

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

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

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

All real numbers except $x=-\frac{1}{2}$

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

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

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

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

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

$x \neq \frac{1}{2}$

This quiz tests your knowledge of inverse functions, function values, and domain. It includes questions about finding the inverse function of a given function, evaluating the inverse function at a specific value, and determining the domain of the original function.

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