Answer
$\dfrac{3x-10}{2x^2}$
Work Step by Step
RECALL:
$(f-g)(x) = f(x)-g(x)$
Using the formula above gives:
$(t-r)(x)
\\= t(x)-r(x)
\\=\dfrac{3}{2x}-\dfrac{5}{x^2}$
Make the expressions similar using their LCD $2x^2$
$=\dfrac{3(x)}{2x(x)}-\dfrac{5(2)}{x^2(2)}
\\=\dfrac{3x}{2x^2}-\dfrac{10}{2x^2}
\\=\dfrac{3x-10}{2x^2}$