Question

If ƒ(x) = x − 4 and g(x) = 3x + 5, find (ƒ + g)(x).

Answer 1

please refer to the above attachment

`\boxed{(4x + 1) \: is \: the \: right \: answer.}`

Answer 2

`(f+g)(x)=4x+1`

Explanation:

We are given the two functions:

`f(x)=x-4\text{ and } g(x)=3x+5`

And we want to find:

`(f+g)(x)`

This is equivalent to:

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

By substitution:

`=(x-4)+(3x+5)`

Rearranging yields:

`=(x+3x)+(-4+5)`

Combine like terms:

`=4x+1`

Hence:

`(f+g)(x)=4x+1`