Question:
Solution:
Consider the following two functions:
[tex]f(x)=2x+8[/tex]
and
[tex]g(x)=x^2+2x-8[/tex]
Now, consider the following definition:
[tex](f-g)(x)=f(x)-g(x)[/tex]
thus, we get:
[tex]\begin{gathered} (f-g)(x)=f(x)-g(x) \\ =\text{ (2x+8)-(}x^2+2x-8\text{)} \end{gathered}[/tex]
this is equivalent to:
[tex]=\text{ 2x+8-}x^2-2x+8[/tex]
this is equivalent to:
[tex]=-x^2+16[/tex]
So that, we can conclude that the correct answer is:
[tex](f-g)(x)=-x^2+16[/tex]
