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Definiční obor výrazu
Urči v \mathbb{R} definiční obor výrazu:
\large \Large \frac{5}{{x^{2}-2 x}}\large
Podmínka:
I.\ x^{2}\ –\ 2 x \ne 0 \to x\cdot\left( {x\ –\ 2} \right) \ne 0 \to x \ne 0;\ 2
\large D\left( x\right) = \mathbb{R}- \left \{ {0;2} \right \}
Podmínka:
I.\ x^{2}\ –\ 2 x \ne 0 \to x\cdot\left( {x\ –\ 2} \right) \ne 0 \to x \ne 1;\ 2
\large D\left( x\right) = \mathbb{R}- \left \{ {1;2} \right \}
Podmínka:
I.\ x^{2}\ –\ 2 x \ne 0 \to x\cdot\left( {x\ –\ 2} \right) \ne 0 \to x \ne -1;\ 2
\large D\left( x\right) = \mathbb{R}- \left \{ {-1;2} \right \}
Podmínka:
I.\ x^{2}\ –\ 2 x \ne 0 \to x\cdot\left( {x\ –\ 2} \right) \ne 0 \to x \ne 0;\ 3
\large D\left( x\right) = \mathbb{R}- \left \{ {0;3} \right \}