What is the f(x)=sqrt(35-2x-x^2)+1/(x^2-4) ?

The f(x)=sqrt(35-2x-x^2)+1/(x^2-4) is

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f(x)=sqrt(35-2x-x^2)+1/(x^2-4)

f (x) = 35 - 2 x - x^{2} + \frac{1}{x ^{2} - 4}

Domain : - 7 \leq x < - 2 or - 2 < x < 2 or 2 < x \leq 5

Range : - \infty < f (x) < \infty

X Intercepts : (1.95155 \dots, 0), (- 1.95733 \dots, 0), Y Intercepts : (0, 35 - \frac{1}{4})

Asymptotes : Vertical x = - 2, x = 2

Extreme Points : Minimum (- 7, \frac{1}{45}), Maximum (- 0.53542 \dots, 5.71268 \dots), Minimum (5, \frac{1}{21})

Interval Notation

Domain : [- 7, - 2) \cup (- 2, 2) \cup (2, 5]

Range : (- \infty, \infty)

Solution steps

Domain of

35 - 2 x - x^{2} + \frac{1}{x ^{2} - 4} : - 7 \leq x < - 2 or - 2 < x < 2 or 2 < x \leq 5

Range of

35 - 2 x - x^{2} + \frac{1}{x ^{2} - 4} : - \infty < f (x) < \infty

Axis interception points of

35 - 2 x - x^{2} + \frac{1}{x ^{2} - 4} :

X Intercepts

: (1.95155 \dots, 0), (- 1.95733 \dots, 0),

Y Intercepts

: (0, 35 - \frac{1}{4})

Asymptotes of

35 - 2 x - x^{2} + \frac{1}{x ^{2} - 4} :

Vertical

: x = - 2, x = 2

Extreme Points of

35 - 2 x - x^{2} + \frac{1}{x ^{2} - 4} :

Minimum

(- 7, \frac{1}{45}),

Maximum

(- 0.53542 \dots, 5.71268 \dots),

Minimum

(5, \frac{1}{21})

f (x) = cos (x), 0 \leq x \leq \frac{π}{2}

f (x) = - 0. 3^{(4 - x)} - 1

f (x) = x^{3} - 4 x^{2} - 3 x + 5

f (x) = x^{3} sin (2 x)

f (y) = 169225400 y^{121}

What is the f(x)=sqrt(35-2x-x^2)+1/(x^2-4) ?
The f(x)=sqrt(35-2x-x^2)+1/(x^2-4) is