Exerci Cio Su 03
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Transcript of Exerci Cio Su 03
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7/22/2019 Exerci Cio Su 03
1/3
mdc
2 2
2 2
R
N
N
f : R R x0= 0
f : X Y
g1 : Y X g2 : Y X
g1= g2
g1(y) = g2(y)
y Y
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7/22/2019 Exerci Cio Su 03
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f :XY
f
g: Y X
fg= IY
f
f g: Y X g f=IX
f
f : X Y g1 : Y X
g2:Y X fg1= IY g2 f=IX g1= g2
f
f :XY
A
X
f(A) ={f(x) ; x A} Y .
A
B
X
f(AB) =f(A) f(B)
f :XY A B X
f(A B) f(A) f(B)
f(A B) = f(A) f(B)
A,BX
f
f :XY
y Y
x
X
f1(y) ={x X ; f(x) =y}.
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f
y
Y
f1(y)
f
y
Y
f1(y)
f
y
Y
f1(y)
f :XY
A Y
A
X
f1(A) ={x X; f(x) A}.
f1(A B) =f1(A) f1(B)
f1(A B) =f1(A) f1(B)
f :XY
f(f1(B)) B
B Y
f(f1(B)) =B
BY
f
f :XY
f1(f(A)) A
A X
f1(f(A)) =A
A X
f
f : XY
g: Y X
