### 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 in terms of x.
So, I will start by writing y = 4 - 5x and then swap x and y to get x = 4 - 5y.
Next, I will isolate y by adding 5y to both sides and subtracting x from both sides.
This gives me 5y = 4 - x.
Finally, I will divide both sides by 5 to get y = (4 - x) / 5.
This is the inverse function of f(x), so I can write it as f^{-1}(x) = (4 - x) / 5.