Question

Найти область определения функции:
y=$log_{x+7} (x^{2}-25)$

Answer 1

$y=log_{x+7}(x^2-25)\\OOF:quad x+7 textgreater 0; ,; x+7ne 1; ,; x^2-25 textgreater 0\\x textgreater -7; ,; xne -6; ,; (x-5)(x+5) textgreater 0\\(x-5)(x+5) textgreater 0quad +++(-5)---(5)+++\\xin (-infty ,-5)cup (5,+infty )\\Otvet:; xin (-7,-6)cup (-6,-5)cup (5,+infty )$