What is the f(x)=(1-9sqrt(4-x^2))/(|x-2|-|x+2|) ?

The f(x)=(1-9sqrt(4-x^2))/(|x-2|-|x+2|) is

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f(x)=(1-9sqrt(4-x^2))/(|x-2|-|x+2|)

f (x) = \frac{1 - 9 4 - x ^{2}}{∣ x - 2 ∣ - ∣ x + 2 ∣}

Domain : - 2 \leq x < 0 or 0 < x \leq 2

Range : f (x) \geq - \frac{1}{4}

X Intercepts : (\frac{323}{9}, 0), (- \frac{323}{9}, 0)

Asymptotes : Vertical x = 0, Horizontal None

Extreme Points : Maximum (- 2, \frac{1}{4})

Interval Notation

Domain : [- 2, 0) \cup (0, 2]

Range : [- \frac{1}{4}, \infty)

Solution steps

Domain of

\frac{1 - 9 4 - x ^{2}}{∣ x - 2 ∣ - ∣ x + 2 ∣} : - 2 \leq x < 0 or 0 < x \leq 2

Range of

\frac{1 - 9 4 - x ^{2}}{∣ x - 2 ∣ - ∣ x + 2 ∣} : f (x) \geq - \frac{1}{4}

Axis interception points of

\frac{1 - 9 4 - x ^{2}}{∣ x - 2 ∣ - ∣ x + 2 ∣} :

X Intercepts

: (\frac{323}{9}, 0), (- \frac{323}{9}, 0)

Asymptotes of

\frac{1 - 9 4 - x ^{2}}{∣ x - 2 ∣ - ∣ x + 2 ∣} :

Vertical

: x = 0,

Horizontal

:

None

Extreme Points of

\frac{1 - 9 4 - x ^{2}}{∣ x - 2 ∣ - ∣ x + 2 ∣} :

Maximum

(- 2, \frac{1}{4})

f (m) = 17 m^{2} + 70 m + 68

f (x) = \frac{( x + 3 ) ^{2} - ( x - 1 ) ^{2}}{4 x ^{2} - 4 x - 8}

f (x) = - 0.5 x^{2} + 20 x - 100

f (x) = - 0.25 x^{2} + 40 x + 300

f (x) = \frac{- x + 10}{x ^{3}}

What is the f(x)=(1-9sqrt(4-x^2))/(|x-2|-|x+2|) ?
The f(x)=(1-9sqrt(4-x^2))/(|x-2|-|x+2|) is