### 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.
I can start by writing $y=4-5x$ and then exchanging x and y: $x=4-5y$.
Now I need to isolate y on one side of the equation.
I can do this by adding 5y to both sides: $5y+x=4$.
Then I can subtract x from both sides: $5y=4-x$.
Finally, I can divide both sides by 5: $y=\frac{4-x}{5}$.
This is the inverse function of $f(x)$.