Question

Help please out of school due to medical issues. Thank you.

Answer 1

Question:

Solution:

Consider the following two functions:

`f(x)=2x+8`

and

`g(x)=x^2+2x-8`

Now, consider the following definition:

`(f-g)(x)=f(x)-g(x)`

thus, we get:

`\begin{gathered} (f-g)(x)=f(x)-g(x) \\ =\text{ (2x+8)-(}x^2+2x-8\text{)} \end{gathered}`

this is equivalent to:

`=\text{ 2x+8-}x^2-2x+8`

this is equivalent to:

`=-x^2+16`

So that, we can conclude that the correct answer is:

`(f-g)(x)=-x^2+16`