Show Intro/Instruc The function $f$ represents $y$ in terms of $x$. If $f(x)=3-5 x$, determine the formula that reverses this process and gives $x$ in terms of $y$. \[ \begin{array}{l} x=\frac{y+3}{5} \\ x=3+5 y \\ x=\frac{1}{3-5 y} \\ x=\frac{y-3}{-5} \end{array} \]

Step 1 ：The function $f$ represents $y$ in terms of $x$. If $f(x)=3-5 x$, we are asked to determine the formula that reverses this process and gives $x$ in terms of $y$.

Step 2 ：The question is asking for the inverse of the function $f(x) = 3 - 5x$. To find the inverse of a function, we swap $x$ and $y$ and solve for $y$. In this case, we will swap $x$ and $y$ in the equation $y = 3 - 5x$ and solve for $x$.

Step 3 ：By swapping $x$ and $y$ in the equation $y = 3 - 5x$, we get $x = 3 - 5y$.

Step 4 ：However, this is not in the form of $x$ in terms of $y$. We need to rearrange this equation to get $x$ on one side.

Step 5 ：By rearranging the equation $x = 3 - 5y$, we get $x = \frac{y-3}{-5}$.

Step 6 ：\(\boxed{x = \frac{y-3}{-5}}\) is the formula that reverses the process and gives $x$ in terms of $y$.