Question

Найдите область определения функции:
$a) f(x)= sqrt{x- frac{4}{x-3} }$

Answer 1

$y= sqrt{x-frac{4}{x-3}} \\ left { {{x-frac{4}{x-3} geq 0} atop {x-3ne 0}} right. ; left { {{ frac{x^2-3x-4}{x-3} geq 0 } atop {xne 3}} right. ; left { {{ frac{(x-4)(x+1)}{x-3} geq 0} atop {xne 3}} right. \\---[, -1, ]+++(3)---[, 4, ]+++\\xin [-1,3)cup [, 4,+infty )$