For all suitable real numbers x, define f(x) = [Hint: Complete the square!] (a) (b) (c) (d) 1 √x² - 4x + 5* Find the domain of f. Give an example to show that ƒ is not an injection. Describe the range of f. Justify your answer in (d).
For all suitable real numbers x, define f(x) = [Hint: Complete the square!] (a) (b) (c) (d) 1 √x² - 4x + 5* Find the domain of f. Give an example to show that ƒ is not an injection. Describe the range of f. Justify your answer in (d).
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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can u asnwer c and d
![(5) For all suitable real numbers x, define
f(x) =
1
√x² - 4x + 5
[Hint: Complete the square!]
(a)
Find the domain of f.
(b)
Give an example to show that f is not an injection.
Describe the range of f.
Justify your answer in (d).
(c)
(d)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c75fee6-1dfe-40e1-bff7-5254f1f32a2d%2F79da9e6e-3bab-4a99-8153-1a3b2ebe9657%2Fe3krikr_processed.png&w=3840&q=75)
Transcribed Image Text:(5) For all suitable real numbers x, define
f(x) =
1
√x² - 4x + 5
[Hint: Complete the square!]
(a)
Find the domain of f.
(b)
Give an example to show that f is not an injection.
Describe the range of f.
Justify your answer in (d).
(c)
(d)
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