4. Let f(x)= |x| and g(x) = x-3. (a) Determine the formulas for each of the related composite functions: h(x) = (fog)(x) = f(g(x)) s(x) = (gof)(x) = g(f(x)) t(x) = (gofog)(x) = g(f(g(x))). (b) Plot graphs of all the functions: f,h, s, and t in the same coordinate plane. Use different colors for distinction.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Let f(x)= |x| and g(x) = x - 3.
(a) Determine the formulas for each of the related composite functions:
h(x) = (fog)(x) = f(g(x))
s(x) = (gof)(x) = g(f(x))
t(x) = (gofog)(x) = g(f(g(x))).
(b) Plot graphs of all the functions: f,h, s, and t in the same coordinate plane.
Use different colors for distinction.
Transcribed Image Text:4. Let f(x)= |x| and g(x) = x - 3. (a) Determine the formulas for each of the related composite functions: h(x) = (fog)(x) = f(g(x)) s(x) = (gof)(x) = g(f(x)) t(x) = (gofog)(x) = g(f(g(x))). (b) Plot graphs of all the functions: f,h, s, and t in the same coordinate plane. Use different colors for distinction.
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