Transcript text: Find $f+g, f-g, f g$ and $\frac{f}{g}$. Determine the domain for each function.
\[
f(x)=4 x+7, g(x)=x+1
\]
$(f-g)(x)=3 x+6$ (Simplify your answer.)
What is the domain of $f-g$ ?
A. The domain of $f-g$ is $(-\infty, \infty)$. (Type your answer in interval notation.)
B. The domain of $f-g$ is $\}$. (Use a comma to separate answers as needed.)
C. The domain of $\mathrm{f}-\mathrm{g}$ is $\varnothing$.
\[
(f g)(x)=\square
\]
(Simplify your answer.)