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Chapter 2: Q. 61 (page 69)

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

P(t)=t-43t-21

Short Answer

Expert verified

The domain of the given function is{t|t鈮�4,t鈮�7}

Step by step solution

01

Step 1. Given Information 

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

P(t)=t-43t-21

02

Step 2. The function P tells us to take the square root of t-4 and divide this result by 3t-21.

This requires that

t-4鈮�0

Add 4 on both side

role="math" localid="1646019797420" t-4+4鈮�0+4t鈮�4

and

3t-21=0

Add 21 on both side

role="math" localid="1646019936386" 3t-21+21鈮�0+213t鈮�2133t鈮�213t鈮�7

03

Step 3. Combining these two restrictions,

The domain of P is

{t|t鈮�4,t鈮�7}

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Most popular questions from this chapter

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

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x

If (3,6)is a point on the graph of y=f(x), which of the following points must be on the graph ofy=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

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

A.y=x2+2B.y=-x2+2C.y=x+2D.y=-x+2E.y=(x-2)2F.y=-(x+2)2G.y=x-2H.y=-x+2I.y=2x2J.y=-2x2K.y=2xL.y=-2x
See all solutions

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