en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

g(x)= 1/(x^2-4)

Solution

g (x) = \frac{1}{x ^{2} - 4}

Solution

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

Range : f (x) \leq - \frac{1}{4} or f (x) > 0

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

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

Extreme Points : Maximum (0, - \frac{1}{4})

+1

Interval Notation

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

Range : (- \infty, - \frac{1}{4}] \cup (0, \infty)

Solution steps

Domain of

\frac{1}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{1}{x ^{2} - 4} : f (x) \leq - \frac{1}{4} or f (x) > 0

Axis interception points of

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

Y Intercepts

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

Asymptotes of

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

Vertical

: x = - 2, x = 2,

Horizontal

: y = 0

Extreme Points of

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

Maximum

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

Popular Examples

f (n) = \frac{5}{n}

f(x)=6x+2x^3+3x^2+1

f (x) = 6 x + 2 x^{3} + 3 x^{2} + 1

h(t)=-4.9t^2+8.4t+1.5

h (t) = - 4.9 t^{2} + 8.4 t + 1.5

y= 1/4 (x^4-5x^2+7x-5)

y = \frac{1}{4} (x^{4} - 5 x^{2} + 7 x - 5)

f(x)=sqrt(\sqrt{x-5)-5}

f (x) = x - 5 - 5

Frequently Asked Questions (FAQ)

What is the g(x)= 1/(x^2-4) ?
The g(x)= 1/(x^2-4) is