110k views
5 votes
If f(x) = –10x – 6, then f-1(x) =

User Tarukami
by
3.3k points

1 Answer

3 votes

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

User ChristianFigueroa
by
4.4k points