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2025-11-30 10:26:43 +01:00
parent 9e266c3418
commit d6bde00c81
2 changed files with 2208 additions and 2076 deletions

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@@ -196,6 +196,18 @@ For $sqrt(x)$ definerer vi kun svaret som det positive.
Men for $x^2=4$ defineres $plus.minus 2$ som svaret.
]
#example()[
$
f(x)=e^(2x)\
x=e^(2y)\
ln(x)=ln(e^(2y))\
ln(x)=2y\
y=ln(x)/2
$
#note-box()[
For inverse funktioner, skal man huske at sørge for, at $f compose f^(-1)$ skal give $id_A$ og $f^(-1) compose f = id_B$
]
]
== Identitetsfunktionen
$
id: A &arrow A\
@@ -213,5 +225,6 @@ f compose g = f(g(x))
$
= Komplekse tal
= Polynomier
= Matricer