Question

Determinar o domínio das funções

Answer 1

$a) \\ y=2x+3 \\ \\ D=( - \infty,+\infty) \\ \\ b) \\ y=x^2+3x+2 \\ \\ D=( - \infty,+\infty) \\ \\ c) \\ y= \frac{x+2}{3x-3} \\ \\ 3x-3=0 \\ \\ 3x=3 \\ \\ x= \frac{3}{3} =1 \\ \\ x \neq 1 \\ \\ D=(-\infty,1)U(1,+\infty) \\ \\ d) \\ y= \sqrt{4x-8} \\ \\ 4x-8 \geq 0 \\ \\ 4x \geq 8 \\ \\ x \geq \frac{8}{4} \\ \\ x \geq 2 \\ \\ D=[2,+\infty)$