### 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 I write y = 4 - 5x and then swap x and y to get x = 4 - 5y.
Now I need to isolate y on one side of the equation.
I can start by subtracting 4 from both sides to get x - 4 = -5y.
Then I can divide both sides by -5 to get (x - 4)/-5 = y.
This is the inverse function, but I can also write it as y = -(x - 4)/5 or y = -x/5 + 4/5.