Question

Determine whether the two functions are inverses.

f(x) = 5x+4 and g(x)=x-4/5

The two functions are inverses.
The two functions are not inverses.

Answer 1

The two functions are inverses.

Explanation:

We are supposed to find whether the two functions are inverses.

`f(x)=5x+4`

`g(x)=(x-4)/(5)`

To find the inverse of f(x)

y = 5x+4

y-4=5x

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

Replace x with y and y with x

So,
`(x-4)/(5)=y`

So,
`(x-4)/(5)=g(x)`

So,The two functions are inverses.