# Chapter 2 - Section 2.6 - Function Notation and Linear Functions - 2.6 Exercises - Page 202: 11

4

#### Work Step by Step

We are given that $g(x)=-x^{2}+4x+1$. In order to evaluate the function at x=3, we can plug in 3 to the function and evaluate directly. $g(3)=-x^{2}+4x+1=-(3)^{2}+4(3)+1=-(9)+12+1=-9+12+1=4$

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