Find the domain of the function. (Enter your answer using interval notation.) G(x): 8x + x X Sketch the graph of the function. -10 4 -2 -5 G(X) G(X) 10 10 2 5 10 X X -2 G(X) 10 00 8 6 A 2 G(X) 10 8 co 2 A X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Find the domain of the function. (Enter your answer using interval notation.)
8x + x|
G(x)=
X
Sketch the graph of the function.
-10
-4
-2
-5
G(X)
10
6
2
G(X)
10
5
2
5
4
X
-X
10
-4
-2
G(X)
10
8
6
SH
2
G(X)
10
CO
8
6
4
2
4
X
Transcribed Image Text:Find the domain of the function. (Enter your answer using interval notation.) 8x + x| G(x)= X Sketch the graph of the function. -10 -4 -2 -5 G(X) 10 6 2 G(X) 10 5 2 5 4 X -X 10 -4 -2 G(X) 10 8 6 SH 2 G(X) 10 CO 8 6 4 2 4 X
Expert Solution
Step 1

Solution ) G(x) = (8x + |x| )/x

G(x) = 8x/x + |x|/x 

G(x) = 8 + |x|/x 

If x = 0

G(x) = 8 + 0 = 0

If x > 0 

G(x) = 8 + |x|/ x 

        = 8 + 1 

        = 9 

But x value is (+) side 

If x < 0

G(x) = 8 + |-x|/-x 

G(x) = 8 + x / (-x)            [ |-x | = x ]

G(x) = 8 - 1 

G(x) = 7 

But x value ( - ) side 

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