Question

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

The answer is C. f(X)=-1/5x-4/5

Hope this helps !!

Answer 1

`f^(-1)(x)=-(1)/(5) x-(4)/(5)`

Explanation:

It is called an inverse or reciprocal function of
`f` to another function
`f^(-1)` that fulfills that:

If
`f(a)=b`, then
`f^(-1) (b)=a`

The inverse of
`f(x)=-5x-4` is:

We change the x for the y

`x=-5y-4`

Now, let's clear y

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

Ordering

`y = -(1)/(5) x-(4)/(5)`

So, the inverse of the function
`f(x)=-5x-4` is:

`f^(-1)(x)=-(1)/(5) x-(4)/(5)`

.