en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

g(x)=(4x-36)/(x^2-2x-8)

Solution

g (x) = \frac{4 x - 36}{x ^{2} - 2 x - 8}

Solution

Domain : x < - 2 or - 2 < x < 4 or x > 4

Range : f (x) \leq \frac{- 2 55 + 16}{9} or f (x) \geq \frac{2 55 + 16}{9}

X Intercepts : (9, 0), Y Intercepts : (0, \frac{9}{2})

Asymptotes : Vertical x = - 2, x = 4, Horizontal y = 0

Extreme Points : Minimum (9 - 55, \frac{2 ( 8 + 55 )}{9}), Maximum (9 + 55, - \frac{2 ( 55 - 8 )}{9})

+1

Solution steps

Domain of

\frac{4 x - 36}{x ^{2} - 2 x - 8} : x < - 2 or - 2 < x < 4 or x > 4

Range of

\frac{4 x - 36}{x ^{2} - 2 x - 8} : f (x) \leq \frac{- 2 55 + 16}{9} or f (x) \geq \frac{2 55 + 16}{9}

Axis interception points of

\frac{4 x - 36}{x ^{2} - 2 x - 8} :

X Intercepts

: (9, 0),

Y Intercepts

: (0, \frac{9}{2})

Asymptotes of

\frac{4 x - 36}{x ^{2} - 2 x - 8} :

Vertical

: x = - 2, x = 4,

Horizontal

: y = 0

Extreme Points of

\frac{4 x - 36}{x ^{2} - 2 x - 8} :

Minimum

(9 - 55, \frac{2 ( 8 + 55 )}{9}),

Maximum

(9 + 55, - \frac{2 ( 55 - 8 )}{9})

Popular Examples

f (x) = 10 x - 85

f(t)=2t^6-4t^4+6t^3-7t+2

f (t) = 2 t^{6} - 4 t^{4} + 6 t^{3} - 7 t + 2

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

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

y = 10 sin (2 t + 3)

y=(2x^2+24x-24)e^4-x

y = (2 x^{2} + 24 x - 24) e^{4} - x

Frequently Asked Questions (FAQ)

What is the g(x)=(4x-36)/(x^2-2x-8) ?
The g(x)=(4x-36)/(x^2-2x-8) is