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. (c)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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(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.
(c)
(d)
Justify your answer in (d).
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. (c) (d) Justify your answer in (d).
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