# Chapter 6 Rational Exponents and Radical Functions - 6.3 Perform Function Operations and Composition - 6.3 Exercises - Skill Practice - Page 433: 41

$f(x)=\frac{4}{x}$ and $g(x)=3x^2+7$

#### Work Step by Step

Let $f(x)=\frac{4}{x}$ and $g(x)=3x^2+7$. Then $h(x)=f(g(x))=f(3x^2+7)=\frac{4}{3x^2+7}$

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