Select the functions f(x)=√x+5 and g(x)=√5-x. Select the Operation f-g and Combine Functions ba slide the x-slider to the right to graph the function (f g)(x). Note that the graph is a semicircle. Find the e this semicircle by simplifying (f.g)(x). Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as Click here to launch the interactive figure. (f-g)(x) = (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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K
Select the functions f(x)=√x+5 and g(x)=√5-x. Select the Operation f g and Combine Functions box, and slowly
slide the x-slider to the right to graph the function (f g)(x). Note that the graph is a semicircle. Find the equation of
this semicircle by simplifying (f g)(x).
Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed.
Click here to launch the interactive figure.
(f.g)(x) = (Simplify your answer.)
Transcribed Image Text:K Select the functions f(x)=√x+5 and g(x)=√5-x. Select the Operation f g and Combine Functions box, and slowly slide the x-slider to the right to graph the function (f g)(x). Note that the graph is a semicircle. Find the equation of this semicircle by simplifying (f g)(x). Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure. (f.g)(x) = (Simplify your answer.)
Select Functions
-f(x) = 0.1x² +2
-g(x)= 05
-7
6
-5
-4
Product and Quotient of Two Functions: f g and flg
3
2
Operation
-
6
5
-
-2
3
4
-5
-6
N
-7
1-8
10
Combine Functions
Show Curve Hint
Show Domain
(18
4
5
-7
(2
C
Transcribed Image Text:Select Functions -f(x) = 0.1x² +2 -g(x)= 05 -7 6 -5 -4 Product and Quotient of Two Functions: f g and flg 3 2 Operation - 6 5 - -2 3 4 -5 -6 N -7 1-8 10 Combine Functions Show Curve Hint Show Domain (18 4 5 -7 (2 C
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