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Chapter 2: Q. 3 (page 126)

Find the domain of each function and evaluate each function at x=-1.

role="math" localid="1645959311185" g(x)=x+2x+2

Short Answer

Expert verified

The domain of the function is x|x鈮�-2

The value atx=-1is1.

Step by step solution

01

Step 1. Find the domain of the function.

g(x)=x+2x+2

For domain, denominator cannot be zero.

So,

x+2鈮�0x+2鈮�0x鈮�-2

Therefore, the domain of the function isxbelongs to all real numbers except-2.

02

Step 2. Find value of g(x) at x=-1 

g(x)=x+2x+2g(-1)=-1+2-1+2g(-1)=11g(-1)=1

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Most popular questions from this chapter

If the domain of fis all real numbers in the interval [0,7]and the domain of g is all real numbers in the interval [-2,5], the domain of f+gis all real numbers in the interval _________.

True or False The independent variable is sometimes

referred to as the argument of the function.

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

h(x)=x-2

If f(x)=2x-4if-1鈮�x鈮�2x3-2if2<x鈮�3

Find: (a) f(0) (b) f(1) (c) f(2) (d)f(3)

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

f(x)=-x
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