SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
From the question, we can see that:
[tex]\begin{gathered} f(x)=x^2\text{ + 4x + 4} \\ and \\ g(x)=x^2\text{ -2x -8} \\ We\text{ n}eed\text{ to find the value of f(x)-g(x) and } \\ \text{then, we can now find the domain of f(x) -g(x)} \end{gathered}[/tex]
Step 3:
The details of the solution are as follows:
From the calculation, we can see that the value of:
[tex]\begin{gathered} f(x)\text{ - g(x) = 6 x + 12} \\ \text{Then,} \\ \text{The domain of f(x) -g(x) = (-}\infty,\text{ }\infty\text{ ) -- OPTION A} \end{gathered}[/tex]
