Question

Let f(x)=x√ and g(x)=x−13. Evaluate (f+g)(9).(1 point)

1. (f+g)(9)=3
2. (f+g)(9)=7
3.(f+g)(9)=−1
4. (f+g)(9)=−4

Answer 1

`(f+g)(9) = -1`

Explanation:

First, undo the given shorthand:

`(f+g)(x) = f(x) + g(x)`

Then, solve for
`f(x)` and
`g(x)` individually, and at the end, add the results together.

We can start with
`f(x)`:

`f(x) = √(x)`

`f(9) = \sqrt9`

`f(9) = 3`

Now, we'll move on to
`g(x)`:

`g(x) = x - 13`

`g(9) = 9 - 13`

`g(9) = -4`

Finally, we can add our solved results for
`f(9)` and
`g(9)`:

`f(9) + g(9) = 3 - 4 = -1`

Hence,

`(f+g)(9) = -1`