b. Sketch both f(x) and f (x) on the same grid using the restricted doma Clearly label your graphs. M -24 Expectations Each graph should: -20 -16 -12 8 Be labeled to its function Have arrows Key points labeled & correct -4 24 20 16 12 -8- 4 -4- --8- 12 16 -20 24 8 12 16 20 24
b. Sketch both f(x) and f (x) on the same grid using the restricted doma Clearly label your graphs. M -24 Expectations Each graph should: -20 -16 -12 8 Be labeled to its function Have arrows Key points labeled & correct -4 24 20 16 12 -8- 4 -4- --8- 12 16 -20 24 8 12 16 20 24
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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Hello, could you do question b? I added question 4b for context so there is no missing information. Thank you!
![3. a. Determine the inverse of f(x) = 2x² + 3. Show all work!
2x²+3=4
2x² =y-3
x2 = y-3
2
X = ±
y = ±
F'(x)=
Y-3
2
X-3
2
2
F-¹(x) =
F(x)=x² +1
X²+1=4
X2=4-1
X = ± √4-1
4. a.Determine a restriction we can make to the domain of f(x) = x² + 1, so that its inverse
becomes a function and both graphs are visible within the domain. Explain why these
restrictions would turn the inverse into a function?
X = 54-1
X
The Domain
must be
-> restricted in order
to make the function
invertible.
د.
O
421
the domain should
be [0,00]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5fdd233-e947-4d5f-a3c0-4edca06f47b3%2F963a8917-7f15-4dad-ac9e-7942481496bf%2F2u7sor_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. a. Determine the inverse of f(x) = 2x² + 3. Show all work!
2x²+3=4
2x² =y-3
x2 = y-3
2
X = ±
y = ±
F'(x)=
Y-3
2
X-3
2
2
F-¹(x) =
F(x)=x² +1
X²+1=4
X2=4-1
X = ± √4-1
4. a.Determine a restriction we can make to the domain of f(x) = x² + 1, so that its inverse
becomes a function and both graphs are visible within the domain. Explain why these
restrictions would turn the inverse into a function?
X = 54-1
X
The Domain
must be
-> restricted in order
to make the function
invertible.
د.
O
421
the domain should
be [0,00]
Transcribed Image Text:b. Sketch both f(x) and f(x) on the same grid using the restricted domain from 4b.
Clearly label your graphs.
24-20-16-12 -8 -4
Expectations
Each graph should:
Be labeled to its function
Have arrows
Key points labeled &
correct
24
20
16
12
-8-
4
-4-
-8-
12
-16
-20
24
4
8
12 16 20
24x
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