Showing That Two Composite Functions Are EqualIf f1x2 = 3x - 4 and g1x2 = 131x + 42, show that1f ∘ g2 1x2 = 1g ∘ f2 1x2 = x for every x in the domain of f ∘ g and g ∘ f.
Showing That Two Composite Functions Are EqualIf f1x2 = 3x - 4 and g1x2 = 131x + 42, show that1f ∘ g2 1x2 = 1g ∘ f2 1x2 = x for every x in the domain of f ∘ g and g ∘ f.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 71RE
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Showing That Two Composite Functions Are Equal
If f1x2 = 3x - 4 and g1x2 = 1
3
1x + 42, show that
1f ∘ g2 1x2 = 1g ∘ f2 1x2 = x
for every x in the domain of f ∘ g and g ∘ f.
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