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Chapter 7.5, Problem 31ES
To determine
To calculate: The value of
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Two functions ƒ and g are defined in the figure below.
g
6
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: ☐
☑
0,0,...
Done
Oli
○ Functions
Composition of two functions: Domain and range
Two functions
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g
3
4
6
www-awy.aleks.com
g and ƒ are defined in the figure below.
8
8
9
Domain of g
Range of g
Domain of f
Range of f
0/5
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
0,0,...
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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
0
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