Find the value of f so that f(x) is continuous at x = -1

Let $\lim_{x\rightarrow8}f\left(x\right)=3\ and\ \lim_{x\rightarrow8}g\left(x\right)=10.$  Find  $\lim_{x\rightarrow8}\frac{f\left(x\right)}{\text{g(x)}}.$  

Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.

Find the vertical asymptote(s) (if any) of the graph of the function.
  $\frac{3x}{x^2+9}$  

Is  $f\left[g\left(x\right)\right]$  continuous at x=0? On paper explain why or why not as if this was the AP test!

Is  $g\left[f\left(x\right)\right]$  continuous at x=0? On paper explain why or why not as if this was the AP test!

Find the limit if it exists: $\lim_{x\rightarrow0}\ x\left(e^x+\frac{1}{x}\right)$