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3. Use the following functions of r E R' to answer the rest of this question: 1 f(x) = ; 9(x) 1 h(x) = 3.x; w(x) = In(x) (a) Which of the following are continuous? Also state the domain of each, and whether the relevant function is one-to-one. i. h (x) + w (x) ii. f (x) o g (x)

3. Use the following functions of r E R' to answer the rest of this question: 1 f(x) = ; 9(x) 1 h(x) = 3.x; w(x) = In(x) (a) Which of the following are continuous? Also state the domain of each, and whether the relevant function is one-to-one. i. h (x) + w (x) ii. f (x) o g (x)

Advanced Engineering Mathematics
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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3. Use the following functions of x E R' to answer the rest of this question: 1 1 f(x) = ; g(x) : 2i h(x) = 3x; w(x) = ln(x) (a) Which of the following are continuous? Also state the domain of each, and whether the relevant function is one-to-one. i. h(x)+ w (x) ii. f (x) o g (x)
Transcribed Image Text:3. Use the following functions of x E R' to answer the rest of this question: 1 1 f(x) = ; g(x) : 2i h(x) = 3x; w(x) = ln(x) (a) Which of the following are continuous? Also state the domain of each, and whether the relevant function is one-to-one. i. h(x)+ w (x) ii. f (x) o g (x)
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