Question

x+2/|x - 2|find domain and range

Answer 1

X+2/|x-2l
(X-2 in absolute value so negative become positive)
X+2/x+2=0

Answer 2

Concept Introduction:-

It could take the shape of a word or a numerical representation of a quantity's arithmetic value.

Given Information:-

We have been given that $x+2/|x - 2|$

To Find:-

We have to find that domain and range

Solution:-

According to the problem

$f(x)=\frac{x+2}{|x-2|}\\ x-2=0\\x=2$

Domain,$x=(R-2)(n\neq 2)$

$f(x)=y\\y=\frac{x+2}{x-2}\\ y\times (x-2)={x+2}\\yx-2y=x+2\\yx-x=2+2y\\x(y-1)=2+2y\\x=\frac{2+2y}{y-1}$

Now

$y-1=0\\y=1$

Range $R=(-\infty,1)$.

Final Answer:-

The correct answer are Domain,$x=(R-2)(n\neq 2)$ and Range $R=(-\infty,1)$.

#SPJ3