PROVE: The Identity Function The function I1x2  x is called the identity function. Show that for any function f we

Excerpt
f we have f / = f, 1 • f = f, and ƒ • fl = flof = I. (Ts means that the identity function / behaves for func- tions and composition just the way the number I behaves for real numbers and multiplication.)

PROVE: The Identity Function The function I1x2  x is called the identity function. Show that for any function f we have f  I  f, I  f  f, and f  f1  f1  f  I. (Ts means that the identity function I behaves for functions and composition just the way the number 1 behaves for real numbers and multiplication.) Transcribed Image Text: 104. PROVE: The Identity Function The function I(x) = x is
called the identity function. Show that for any function f
we have f / = f, 1 • f = f, and ƒ • fl = flof = I.
(Ts means that the identity function / behaves for func-
tions and composition just the way the number I behaves
for real numbers and multiplication.)

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