Answer: C.
[tex]\frac{-2x+1}{x^2}[/tex]
Explanation
Given
[tex]\frac{3x+1}{x^2}-\frac{5}{x}[/tex]
We have to find the minimum common denominator, which in our case is x². Then, we divide this denominator over the denominator of each term in the given equation, multiply it times the numerator, and place the result as follows:
[tex]\frac{3x+1}{x^{2}}-\frac{5}{x}=\frac{3x+1-5x}{x^2}[/tex]
Simplifying by adding similar terms we get:
[tex]=\frac{1-2x}{x^2}[/tex]
