The inverse function is f(x) = [tex] \frac{x + 4}{-5} [/tex]
You can find the inverse of any function by switching the f(x) value and the x value. Then solve for the new f(x) value. The result will be your inverse function. Below is the step-by-step process for solving this one.
f(x) = -5x - 4 ---> Switch the f(x) and x values
x = -5f(x) - 4 ---> Add 4 to both sides
x + 4 = -5f(x) ----> Divide each side by -5.
[tex] \frac{x + 4}{-5} [/tex] = f(x) ---> Switch the order so that it looks like a function.
f(x) = [tex] \frac{x + 4}{-5} [/tex]
And that would be your inverse function.
