Final answer:
The inverse function of f(x) = -10x - 6 is f-1(x) = (x + 6)/-10.
Step-by-step explanation:
If f(x) = –10x – 6, then f-1(x) represents the inverse function of f(x). To find the inverse function, replace f(x) with y and swap x and y. So, we have x = –10y – 6. Next, solve this equation for y:
x = –10y – 6
x + 6 = –10y
(x + 6)/-10 = y
f-1(x) = (x + 6)/-10