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Chapter 2: Q. 58 (page 69)

In Problems 47鈥� 62, find the domain of each function.

f(x)=xx-4

Short Answer

Expert verified

The domain of the given function is{x|x鈮�4}

Step by step solution

01

Step 1. Given Information 

In the given problems we have to find the domain of given function.

f(x)=xx-4

02

Step 2. The function f tells us to take x and divide this result by the square root of x-4

This requires that

x-4鈮�0

Add 4 on both side

x-4+4鈮�0+4x鈮�4

03

Step 3. The domain of f is

{x|x鈮�4}

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Most popular questions from this chapter

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-13+2

The set of all images of the elements in the domain of a function is called the _________.

In Problems 7鈥�18, match each graph to one of the following functions:

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The domain of fgconsists of numbers xfor which g(x)____ 0that are in the domains of both ____ and ____.

If fis a function defined by the equation y=f(x), then x is called the ____________ variable and y is the ____________ variable.
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