Beginning and Intermediate Algebra (6th Edition)
6th Edition
ISBN: 9780321969163
Author: Margaret L. Lial, John Hornsby, Terry McGinnis
Publisher: PEARSON
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Chapter 6.1, Problem 84E
To determine
To calculate: The rational expression,
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O Functions
Composition of two functions: Domain and...
Two functions ƒ and g are defined in the figure below.
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Two functions ƒ and g are defined in the figure below.
g
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6
7
8
8
8
9
Domain of f
Range of f
Domain of g
Range of g
Find the domain and range of the composition g.f. Write your answers in set
notation.
(a) Domain of gof:
(b)
Range of gof: ☐
☑
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Oli
○ Functions
Composition of two functions: Domain and range
Two functions
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g and ƒ are defined in the figure below.
8
8
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Domain of g
Range of g
Domain of f
Range of f
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Anthony
Find the domain and range of the composition f.g. Write your answers in set
notation.
(a) Domain of fog: ☐
(b)
Range of fog: ☐
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Explanation
Check
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- Use the graph of the function y = g(x) below to answer the questions. y' -5 -4 4- 3- 27 -2 -3+ -4 x 4 (a) Is g(-2) negative? Yes No (b) For which value(s) of x is g(x) > 0? Write your answer using interval notation. ☐ (c) For which value(s) of x is g(x) = 0? If there is more than one value, separate them with commas. 0,0... (0,0) (0,0) (0,0) (0,0) OVO 0arrow_forwardIt is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥arrow_forwardIt is given that E4E3E2E1A=⎡⎣⎢⎢⎢−1002−40488⎤⎦⎥⎥⎥. Here the matrices E4, E3, E2, and, E1 are: E1=⎡⎣⎢⎢⎢100010008⎤⎦⎥⎥⎥E2=⎡⎣⎢⎢⎢100010−501⎤⎦⎥⎥⎥E3=⎡⎣⎢⎢⎢1000−10001⎤⎦⎥⎥⎥E4=⎡⎣⎢⎢⎢001010100⎤⎦⎥⎥⎥ What is the determinant of A?arrow_forward
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