# Chapter 4 - Section 4.3 - Polynomial Functions, Graphs, and Composition - 4.3 Exercises: 23

$f(x)=3x^{3}+x$ and $g(x)=-2x+3$

#### Work Step by Step

We know that $(f+g)(x)=f(x)+g(x)$. Therefore, we know that the two polynomial functions will have to satisfy the following condition: $f(x)+g(x)=3x^{3}-x+3$ Two such functions that satisfy this condition are: $f(x)=3x^{3}+x$ and $g(x)=-2x+3$ $f(x)+g(x)=(3x^{3}+x)+(-2x+3)=3x^{3}+x-2x+3=3x^{3}-x+3$

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