### Instruction: What is the inverse of $f(x)=4-5x$?### Response: To find the inverse of a function, I need to switch the roles of x and y and then solve for y.
So, if $f(x)=4-5x$, then the inverse function is the one that satisfies $x=4-5y$.
To solve for y, I can add 5y to both sides and then subtract x from both sides to get $5y=4-x$.
Then, I can divide both sides by 5 to get $y=\frac{4-x}{5}$.
This is the inverse function of $f(x)=4-5x$.