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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鈮�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鈮�0}.

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Most popular questions from this chapter

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

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.

hx=x+1

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 _________.

Exploration Graph y=x2,y=x4, and y=x6 on the same screen. What do you notice is the same about each graph? What do you notice that is different?

The short-term

(no more than 24hours) parking fee F (in dollars) for

parking x hours at O鈥橦are International Airport鈥檚 main

parking garage can be modeled by the function

role="math" localid="1645828501222" F(x)=2if0<x鈮�14if1<x鈮�310if3<x鈮�45int(x+1)+2if4<x<951if9鈮�x鈮�24

Determine the fee for parking in the short-term parking

garage for

(a) 2hours

(b) 7hours

(c) 15hours

(d) 8hours and 24minutes
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