What is the f(x)=(sqrt(x+2))/(sqrt(2-x)-1) ?

The f(x)=(sqrt(x+2))/(sqrt(2-x)-1) is

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f(x)=(sqrt(x+2))/(sqrt(2-x)-1)

f (x) = \frac{x + 2}{2 - x - 1}

Domain : - 2 \leq x < 1 or 1 < x \leq 2

Range : f (x) \leq - 2 or f (x) \geq 0

X Intercepts : (- 2, 0), Y Intercepts : (0, 2 + 2)

Asymptotes : Vertical x = 1

Extreme Points : Minimum (- 2, 0), Maximum (2, - 2)

Interval Notation

Domain : [- 2, 1) \cup (1, 2]

Range : (- \infty, - 2] \cup [0, \infty)

Solution steps

Domain of

\frac{x + 2}{2 - x - 1} : - 2 \leq x < 1 or 1 < x \leq 2

Range of

\frac{x + 2}{2 - x - 1} : f (x) \leq - 2 or f (x) \geq 0

Axis interception points of

\frac{x + 2}{2 - x - 1} :

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, 2 + 2)

Asymptotes of

\frac{x + 2}{2 - x - 1} :

Vertical

: x = 1

Extreme Points of

\frac{x + 2}{2 - x - 1} :

Minimum

(- 2, 0),

Maximum

(2, - 2)

What is the f(x)=(sqrt(x+2))/(sqrt(2-x)-1) ?
The f(x)=(sqrt(x+2))/(sqrt(2-x)-1) is