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Chapter 2: Q. 58 (page 69)

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

f(x)=xx-4

Short Answer

Expert verified

The domain of the given function is{x|x≥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≥0

Add 4 on both side

x-4+4≥0+4x≥4

03

Step 3. The domain of f is

{x|x≥4}

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Most popular questions from this chapter

Suppose that the graph of a function fis known. Then the graph of y=f(-x) may be obtained by a reflection about the ________-axis of the graph of the function y=f(x).

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.

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