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Chapter 2: Q. 6 (page 124)

Find the domain of each function.

f(x)=xx2-9

Short Answer

Expert verified

The domain of the function is {x|x鈮�-3,3}.

Step by step solution

01

Step 1. Given information

We have been given a function f(x)=xx2-9.

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.

x2-9=0x2-9+9=0+9(Add9onbothsides)x2=9x=卤9(Takesquarerootonbothsides)x=卤3

Therefore, the domain will be {x|x鈮�-3,3}.

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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.

g(x)=4x

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

Test the equation y=5x2-1for symmetry with respect to the x-axis, the y-axis, and the origin.

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

True or False The domain of the function f(x)=x2-4xis{x|x鈮�卤2}.
See all solutions

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