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