5. (20 points) Sketch the graph of the function $$ f(x)=\frac{3\left(x^{2}+1 ight)}{x^{2}-5} $$ FYI, here are the derivatives of this function: $$ f^{\prime} (x)=\frac{-36 x}{\left(x^{2}-5 ight)^{2}} \quad f^{\prime \prime} (x)=\frac{36\left(3 x^{2}+5 ight)}{\left(x^{2}-5 ight)^{3}} $$ You must justify all your steps using exercises and/or theorems CS. JG. 096