Title: 4ANA_01_TES_DE_Definitionsbereich-3

Authors: Eva Schirgi (Author)
Licence: CC BY 4.0

Q: Gegeben sind die Funktionen

\(\quad f(x) = \frac{1}{\ln{(x^2-1)}}\qquad g(x) =\frac{x}{\sqrt{x^2-1}} \qquad h(x) = \ln{(x^2-1)}\)

Klicken Sie alle jene Aussagen an, die mathematisch korrekt für den Definitionsbereich sind.
- \(D_f = D_g = D_h = \{x\in \mathbb{R}|x<-1 \lor x> 1\}\) (correct)
- \(D_f = D_g = D_h = \{x\in \mathbb{R}|-1 < x < 1\}\)
- \(D_f = D_g = D_h = (-\infty, -1) \cup (1, \infty)\) (correct)
- \(D_f = D_g = D_h = (-\infty, -1] \cup [1, \infty)\)
- \(D_f = D_g = D_h = \{x\in \mathbb{R}|-1 \leq x \leq 1\}\)
- \(D_f = D_g = D_h = (-1,1)\)
- \(D_f = D_g = D_h = [-1,1]\)
- \(D_f = D_g = D_h = \mathbb{R}\setminus\{-1,1\}\)
- \(D_f = D_g = D_h = \mathbb{R}\setminus (-1,1)\)