Question

Which function is the inverse of f(x) = –5x – 4?

Answer 1

The answer on edge is A.

Answer 2

The inverse function is f(x) =
`(x + 4)/(-5)`

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.

`(x + 4)/(-5)` = f(x) ---> Switch the order so that it looks like a function.

f(x) =
`(x + 4)/(-5)`

And that would be your inverse function.