en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)= 2/(x^2+2x-24)

Solution

f (x) = \frac{2}{x ^{2} + 2 x - 24}

Solution

Domain : x < - 6 or - 6 < x < 4 or x > 4

Range : f (x) \leq - \frac{2}{25} or f (x) > 0

Y Intercepts : (0, - \frac{1}{12})

Asymptotes : Vertical x = - 6, x = 4, Horizontal y = 0

Extreme Points : Maximum (- 1, - \frac{2}{25})

+1

Interval Notation

Domain : (- \infty, - 6) \cup (- 6, 4) \cup (4, \infty)

Solution steps

Domain of

\frac{2}{x ^{2} + 2 x - 24} : x < - 6 or - 6 < x < 4 or x > 4

Range of

\frac{2}{x ^{2} + 2 x - 24} : f (x) \leq - \frac{2}{25} or f (x) > 0

Axis interception points of

\frac{2}{x ^{2} + 2 x - 24} :

Y Intercepts

: (0, - \frac{1}{12})

Asymptotes of

\frac{2}{x ^{2} + 2 x - 24} :

Vertical

: x = - 6, x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{2}{x ^{2} + 2 x - 24} :

Maximum

(- 1, - \frac{2}{25})

Graph

Popular Examples

f(x)=(3600)/(60+x)

f (x) = \frac{3600}{60 + x}

f(x)= 1/4 x^3+1/6 x+1

f (x) = \frac{1}{4} x^{3} + \frac{1}{6} x + 1

f(x)=3x^4-2x^3+74x^2-50x-25

f (x) = 3 x^{4} - 2 x^{3} + 74 x^{2} - 50 x - 25

P(x)= 1/7 (x^4-4x^3+3x^2+4x-4)^2

P (x) = \frac{1}{7} (x^{4} - 4 x^{3} + 3 x^{2} + 4 x - 4)^{2}

f (x) = 5 x^{2} - 10 x

Frequently Asked Questions (FAQ)

What is the f(x)= 2/(x^2+2x-24) ?
The f(x)= 2/(x^2+2x-24) is