Question

Найти область определения функции:)

Answer 1

D(y):

$begin{cases} frac{x^{2}-25}{4-x}ge 0 \4-x neq 0 end{cases} \begin{cases} frac{(x-5)(x+5)}{x-4}le 0 \x neq 4 end{cases}$

$\left[begin{array}{ccc}xle -5 \4<xle 5end{array}$

xє$<var>(-infty;-5]cup(4;5]$

xє$\begin{cases} left[begin{array}{ccc}xle -5 \4le xle 5end{array} \xneq4 end{cases}</var></p> <p>[tex]\left[begin{array}{ccc}xle -5 \4<xle 5end{array}$

xє$<var>(-infty;-5]cup(4;5] " /></var></p> <p>Ответ:xє[tex](-infty;-5]cup(4;5]$.