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Chapter 2: Q. 8 (page 124)

Find the domain of each function.

g(x)=xx.

Short Answer

Expert verified

The domain of the functiong(x)=xx is {x|x≠0}.

Step by step solution

01

Step 1. Given information 

We have been given a function g(x)=xx.

We have to find its domain.

02

Step 2. Find the values where the denominator becomes zero 

The given function will not be defined where the denominator becomes zero.

We need to exclude those values of x.

The denominator will be zero when x=0.

Therefore, the domain will be {x|x≠0}.

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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.

fx=-x3

True or False

The graph of y=-f(x)is the reflection about the x-axis of the graph of y=f(x).

True or False Every relation is a function.

match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

Suppose that the graph of a function gis known. The graph of y=g(x)+2may be obtained by a _______ shift of the graph of g ________ a distance of 2 units.
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