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Chapter 4: Q. 64 (page 242)

In Problems 63鈥�66, (a) graph each function by hand, and (b) solve f(x)鈮�0.

f(x)=2x2+9x+9x2-4

Short Answer

Expert verified

Part a. The graph of the function is

Part b. The solution off(x)鈮�0isx>2,x鈮�-3,and-2<x鈮�-32.

Step by step solution

01

Part (a) Step 1. Given Information

The given function isf(x)=2x2+9x+9x2-4

We have to graph the function.

02

Part (a) Step 2. Sketch the graph of the function 

The graph of the function is

03

Part (b) Step 1. Given Information 

The given function is f(x)=2x2+9x+9x2-4

We have to solvef(x)鈮�0.

04

Part (b) Step 2. Solving for f(x)≥0

So,

2x2+9x+9x2-4鈮�02x2+9x+9鈮�0andx2-4>02x+3x+3鈮�0x-2x+2>0x鈮�-32andx鈮�-3x>2andx<-2

Hence the solution is-2<x鈮�-32,x>2,andx鈮�-3.

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