The functions f, g and h are defined by and f(x) g(x) = 2-1 I 3x - 1 2 h(x) =³/4 respectively (1.1) Write down the sets Df, Dg, Dh and Dg-n that represent the domains of f, g, h and g - h respectively. (1.2) Solve the equation f(x) = 0 for z € Dj. (1.3) Solve the inequality (g – h) (x) ≤ 0 (that is g(x) - h (x) ≤ 0) for z € Dg-h-
The functions f, g and h are defined by and f(x) g(x) = 2-1 I 3x - 1 2 h(x) =³/4 respectively (1.1) Write down the sets Df, Dg, Dh and Dg-n that represent the domains of f, g, h and g - h respectively. (1.2) Solve the equation f(x) = 0 for z € Dj. (1.3) Solve the inequality (g – h) (x) ≤ 0 (that is g(x) - h (x) ≤ 0) for z € Dg-h-
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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Transcribed Image Text:The functions f,9 and h are defined by
f (z)
3x-1
1,
g(z)
and
3
h (x) :
respectively
(1.1) Write down the sets Df, Dg, Dn and Dg-n that represent the domains of f, 9, h and g -h
respectively.
(1.2) Solve the equation f (x) = 0 for z e Dj.
%3D
(1.3) Solve the inequality (g – h) (x)<0 (that is g (æ) – h (z) < 0) for x € Dg-h.
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