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Chapter 2: Q. (page 68)

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

Short Answer

Expert verified

The domain of fgconsists of numbers xfor which localid="1645800837802" g(x)鈮�0that are in the domains of both fand .

Step by step solution

01

Step 1. Given information 

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

02

Step 2. DEFINITION

The quotient fgis the function defined by

fg(x)=f(x)g(x)g(x)鈮�0

03

Step 3. The answer is,

The domain of fgconsists of numbers xfor whichg鈮�0that are in the domains of both fandg.

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Most popular questions from this chapter

If (1,3)is a point on the graph of y=f(x), which of the following points must be on the graph ofy=2f(x)?

Write the point鈥搒lope form of the line with slope 5 containing the point (3, -2).

The set of all images of the elements in the domain of a function is called the _________.

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.

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.

f(x)=x2-1
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