Functions can be rewritten is several forms.
The new form of the function is: [tex]\mathbf{f(x) = \frac{x^2}{x - 1} + \frac{2}{x-1}}[/tex]
The function is given as:
[tex]\mathbf{f(x) = \dfrac{x^2+2}{x-1}}[/tex]
Split
[tex]\mathbf{f(x) = \frac{x^2}{x - 1} + \frac{2}{x-1}}[/tex]
The form is given as:
[tex]\mathbf{f(x) = p(x) + \frac{k}{x - 1}}[/tex]
So, by comparison
[tex]\mathbf{p(x) = \frac{x^2}{x - 1}}[/tex]
[tex]\mathbf{k =2}[/tex]
Read more about functions at:
https://brainly.com/question/19580185
