Question

Ai giúp em với ạ, em cần gấp

Answer 1

ĐKXĐ:

a. \(\left\{{}\begin{matrix}x+1\ge0\\x^2-3x+2\ne0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x\ge-1\\x\ne\left\{1;2\right\}\end{matrix}\right.\)

Hay \(D=[-1;1)\cup\left(1;2\right)\cup\left(2;+\infty\right)\)

b. \(\left\{{}\begin{matrix}x+2\ge0\\1-x\ne0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x\ge-2\\x\ne1\end{matrix}\right.\)

c. \(\left\{{}\begin{matrix}1+x\ge0\\1-x\ge0\end{matrix}\right.\) \(\Leftrightarrow-1\le x\le1\)

d. \(\left\{{}\begin{matrix}1-4x^2\ge0\\x^2-2x\ne0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}-\dfrac{1}{2}\le x\le\dfrac{1}{2}\\x\ne0\end{matrix}\right.\)