en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(x^2+3)/(sqrt(x^2-4))

Solution

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

Solution

Domain : x < - 2 or x > 2

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

Intercepts : None

Asymptotes : Vertical x = - 2, x = 2

Extreme Points : Minimum (- 11, 27), Minimum (11, 27)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{2} + 3}{x ^{2} - 4} : x < - 2 or x > 2

Range of

\frac{x ^{2} + 3}{x ^{2} - 4} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{2} + 3}{x ^{2} - 4} :

None

Asymptotes of

\frac{x ^{2} + 3}{x ^{2} - 4} :

Vertical

: x = - 2, x = 2

Extreme Points of

\frac{x ^{2} + 3}{x ^{2} - 4} :

Minimum

(- 11, 27),

Minimum

(11, 27)

Popular Examples

y = \frac{16}{x - 8}

f (x) = ln (5 - 2 x)

y=e^{-2x}sin(3x)

y = e^{- 2 x} sin (3 x)

y=(2x+5)/(3x-2)

y = \frac{2 x + 5}{3 x - 2}

f (x) = 7 - 3 x^{2}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+3)/(sqrt(x^2-4)) ?
The f(x)=(x^2+3)/(sqrt(x^2-4)) is