### 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 solve for y in terms of x.
I can start by writing the equation $y=4-5x$ and then swap x and y to get $x=4-5y$.
Now I need to isolate y by undoing the operations that are applied to it.
I can start by adding 5y to both sides to get $x+5y=4$.
Then I can subtract x from both sides to get $5y=4-x$.
Finally, I can divide both sides by 5 to get $y=\frac{4-x}{5}$.
This is the inverse function of f(x).