The inverse of the given function is y = -1/5(x + 1).
The graph the function and its inverse is shown in the image attached below.
What is an inverse function?
In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).
In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:
y = -1 - 1/5x
x = -1 - 1/5y
Adding 1 to both sides of the function, we have:
x + 1 = -1/5y
Multiplying both sides of the function by -1/5, we have:
y = -1/5(x + 1)