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Chapter 2: Q. 59 (page 69)

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

p(x)=2x-1

Short Answer

Expert verified

The domain of the given function is{x|x鈮�1}

Step by step solution

01

Step 1. Given Information 

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

p(x)=2x-1

02

Step 2. The function p tells us to take the square root of 2 and divide this result by the square root of x-1.

This requires that

x-1鈮�0

Add 1 on both side

x-1+1鈮�0+1x鈮�1

03

Step 3. The domain of p is

{x|x鈮�1}

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Most popular questions from this chapter

Consider the equation

y=1ifxisrational0ifxisirrational

Is this a function? What is its domain? What is its range? What is its y-intercept, if any? What are its x-intercepts, if any? Is it even, odd, or neither? How would you describe its graph?

If 3,6is a point on the graph of role="math" localid="1645806552504" y=f(x), which of the following points must be on the graph of y=f-(x)?

The domain of the variable in the expression x-3x+4is _________.

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

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
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