Question

Let f(x) and x-8 and g(x)=4x^2. Perform the function mv operation and then find the domain of the result. (f+g)(x)

Answer 1

$\begin{gathered} f(x)=x-8 \\ g(x)=4x^2 \end{gathered}$$\begin{gathered} (f+g)(x)=f(x)+g(x) \\ (f+g)(x)=(x-8)+4x^2 \\ (f+g)(x)=x-8+4x^2 \\ (f+g)(x)=4x^2+x-8 \end{gathered}$

The resultant function is a parabola which doesn't have any restriction over its domain, therefore, the domain is:

$D\colon(-\infty,\infty)$