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Definiční obor výrazu
Urči v \mathbb{R} definiční obor výrazu:
\large \Large \frac{{x-3}}{{x^{2}-8x+16}}\large
Podmínka:
I.\ x^{2}\ –\ 8x + 16 \ne 0 \to {\left( {x\ –\ 4} \right)^2} \ne 0 \to x \ne 5
\large D\left( x\right) = \mathbb{R}- \left \{ 5 \right \}
Podmínka:
I.\ x^{2}\ –\ 8x + 16 \ne 0 \to {\left( {x\ –\ 4} \right)^2} \ne 0 \to x \ne 6
\large D\left( x\right) = \mathbb{R}- \left \{ 6 \right \}
Podmínka:
I.\ x^{2}\ –\ 8x + 16 \ne 0 \to {\left( {x\ –\ 4} \right)^2} \ne 0 \to x \ne 4
\large D\left( x\right) = \mathbb{R}- \left \{ 4 \right \}
Podmínka:
I.\ x^{2}\ –\ 8x + 16 \ne 0 \to {\left( {x\ –\ 4} \right)^2} \ne 0 \to x \ne 3
\large D\left( x\right) = \mathbb{R}- \left \{ 3 \right \}