Question

\(\sqrt{\dfrac{1+x}{x^2-1}}\) có nghĩa khi

\(\sqrt{3x-5}\) + \(\sqrt{\dfrac{2}{x-4}}\) có nghĩa khi

Answer 1

`\sqrt((1+x)/(x^2-1))` có nghĩa `<=> (1+x)/(x^2-1) >=0 <=> {(x>1),(-1<x<1):}`

`\sqrt(3x-5)+\sqrt(2/(x-4))` có nghĩa `<=> {(3x-5>=0),(x-4>0):} <=> x>4`

Answer 2

a) ĐKXĐ: \(\dfrac{1+x}{x^2-1}\ge0\)

\(\Leftrightarrow\dfrac{1}{x-1}\ge0\)

\(\Leftrightarrow x-1>0\)

hay x>1