Question

найдите множество значений функции

Answer 1

$y=sqrt{x^2+2x+17}=sqrt{(x+1)^2+16}\\(x+1)^2 geq 0; pri; xin (-infty,+infty)quad to quad (x+1)^2+16 geq 16\\y=sqrt{(x+1)^2+16} geq sqrt{16}quad y geq 4\\yin [4,+infty)$