# Chapter 7 - Functions and Graphs - 7.4 The Algebra of Functions - 7.4 Exercise Set: 38

$\dfrac{3x-10}{2x^2}$

#### 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 $2x^2$ $=\dfrac{3(x)}{2x(x)}-\dfrac{5(2)}{x^2(2)} \\=\dfrac{3x}{2x^2}-\dfrac{10}{2x^2} \\=\dfrac{3x-10}{2x^2}$

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