Let f be the function from the set {1, 2, 3, 4} to the set {a, b, c, d} such that f (1) = d, f (2) = b, f (3) =a and f (4) = c. Let g be the function from the set {a, b, c, d} to itself such that g(a) = c, g(b) = a, g(c) = d and g(d) = b. Let h be the function from the set {1, 2 ,3} to itself such that h(1) = 1, h(2) = 2, and h(3) = 3. Determine the following composite function (h o flogof) (3) O a d Ob. O c.b O d. a O f. Og. undefined O h.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.1: Functions
Problem 5E
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Let f be the function from the set {1, 2, 3, 4} to the set {a, b, c, d} such that f (1) = d, f (2) = b, f (3) =a and f (4) = c.
Let g be the function from the set {a, b, c, d} to itself such that g(a) = c, g(b) = a, g(c) = d and g(d) = b.
Let h be the function from the set {1, 2 ,3} to itself such that h(1) = 1, h(2) = 2, and h(3) = 3.
Determine the following composite function (h of'ogof) (3)
d
а.
O b.4
O c.
d. a
2
е.
O f. 1
3
g.
undefined
h.
Transcribed Image Text:Let f be the function from the set {1, 2, 3, 4} to the set {a, b, c, d} such that f (1) = d, f (2) = b, f (3) =a and f (4) = c. Let g be the function from the set {a, b, c, d} to itself such that g(a) = c, g(b) = a, g(c) = d and g(d) = b. Let h be the function from the set {1, 2 ,3} to itself such that h(1) = 1, h(2) = 2, and h(3) = 3. Determine the following composite function (h of'ogof) (3) d а. O b.4 O c. d. a 2 е. O f. 1 3 g. undefined h.
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