The inverse function is f(x) = [tex] \frac{x + 6}{-2} [/tex]
You can find the inverse of any function by switching the d(x) value and the x value. Then solve for the new d(x) value. The result will be your inverse function. Below is the step-by-step process for solving this one.
d(x) = -2x - 6 ---> Switch the f(x) and x values
x = -2f(x) - 6 ---> Add 6 to both sides
x + 6 = 2f(x) ----> Divide each side by -2.
[tex] \frac{x + 6}{-2} [/tex] = f(x) ---> Switch the order so that it looks like a function.
f(x) = [tex] \frac{x + 6}{-2} [/tex]
And that would be your inverse function.
