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:

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