1. Find the inverse function, $f^{-1}(x)$, for the rational function $f(x) = \frac{4x - 1}{x + 5}$. $f^{-1}(x) = $ ___
2. To find the inverse of $g(x) = \frac{3x + 7}{2x - 5}$, what is the correct equation after replacing $g(x)$ with $y$ and switching the variables?
3. Given the function $h(x) = \frac{3x + 2}{x - 3}$, what is its inverse, $h^{-1}(x)$? $h^{-1}(x) = $ ___
4. Which of the following functions is the inverse of $f(x) = \frac{5x - 3}{x + 2}$?
5. When finding the inverse of $f(x) = \frac{x - 7}{3x + 2}$, we can isolate terms with $y$ to get the equation $y(3x - 1) = A$. What is the expression for $A$? $A = $ ___
6. Solve for $r$: $\frac{12}{r - 7} = 3$. \newline $r = $ ___.
7. Solve for $m$: $\frac{3}{m^2} = 5$.
8. Solve for $x$: $\frac{15}{x^2} = 8$.
9. Solve for $v$: $-3 = \frac{v + 1}{v - 6}$. \newline $v = $ ___.
10. Solve for $y$: $4.3 = \sqrt{\frac{18}{y}}$. Round your answer to one decimal place. \newline $y = $ ___.