### 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 $y=4-5x$ and $x=4-5y$.
To isolate y, I can add 5y to both sides and subtract x from both sides: $5y+x=4$.
Then, I can divide everything by 5 to get $y=\frac{4-x}{5}$.
This is the inverse function of f, so I can write it as $f^{-1}(x)=\frac{4-x}{5}$.