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+2x-3)/(x^2-4)

Solution

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

Solution

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

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

X Intercepts : (1, 0), (- 3, 0), Y Intercepts : (0, \frac{3}{4})

Asymptotes : Vertical x = - 2, x = 2, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0), (- 3, 0),

Y Intercepts

: (0, \frac{3}{4})

Asymptotes of

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

Vertical

: x = - 2, x = 2,

Horizontal

: y = 1

Extreme Points of

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

None

Popular Examples

f (x) = 7 x^{2} + 14 x

f (n) = n^{2} + 7 n + 10

f(x)=((2x^3))/(x^2+10)

f (x) = \frac{( 2 x ^{3} )}{x ^{2} + 10}

y=arctan((x+1)/(x-1))

y = arctan (\frac{x + 1}{x - 1})

y=-16x^2+246x+100

y = - 16 x^{2} + 246 x + 100

Frequently Asked Questions (FAQ)

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