2x-1 (b) The function g(x) is a rational function, hence the domain is the set of values of x such that the 3x+5 denominator is not zero, that is, x # . To determine the range if we set g(x) as y and solving for x we get, 5y+1 X = hence the range is the set of values of y such that the denominator is not zero, that is, y #: 2-3y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(b) The function g(x)
2x-1
is a rational function, hence the domain is the set of values of x such that the
3x+5
denominator is not zero, that is, x #
. To determine the range if we set g(x) as y and solving for x we get,
5y+1
= X
hence the range is the set of values of y such that the denominator is not zero, that is, y #:
2-3y
Transcribed Image Text:(b) The function g(x) 2x-1 is a rational function, hence the domain is the set of values of x such that the 3x+5 denominator is not zero, that is, x # . To determine the range if we set g(x) as y and solving for x we get, 5y+1 = X hence the range is the set of values of y such that the denominator is not zero, that is, y #: 2-3y
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