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Popular Functions >

f(x)=-5/(x^2-4)

Solution

f (x) = - \frac{5}{x ^{2} - 4}

Solution

Domain : x < - 2 or - 2 < x < 2 or x > 2

Range : f (x) < 0 or f (x) \geq \frac{5}{4}

Y Intercepts : (0, \frac{5}{4})

Asymptotes : Vertical x = - 2, x = 2, Horizontal y = 0

Extreme Points : Minimum (0, \frac{5}{4})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Range : (- \infty, 0) \cup [\frac{5}{4}, \infty)

Solution steps

Domain of

- \frac{5}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

Range of

- \frac{5}{x ^{2} - 4} : f (x) < 0 or f (x) \geq \frac{5}{4}

Axis interception points of

- \frac{5}{x ^{2} - 4} :

Y Intercepts

: (0, \frac{5}{4})

Asymptotes of

- \frac{5}{x ^{2} - 4} :

Vertical

: x = - 2, x = 2,

Horizontal

: y = 0

Extreme Points of

- \frac{5}{x ^{2} - 4} :

Minimum

(0, \frac{5}{4})

Graph

Popular Examples

f(x)=-1.71x^3+39.67x^2-271.92x+1275.85

f(x)=sqrt((x+3)/(x-2))

y=(x^2)/((ln(x)))

Frequently Asked Questions (FAQ)

What is the f(x)=-5/(x^2-4) ?
The f(x)=-5/(x^2-4) is