en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(2x+16)/((x+3)(x-2))

Solution

f (x) = \frac{2 x + 16}{( x + 3 ) ( x - 2 )}

Solution

Domain : x < - 3 or - 3 < x < 2 or x > 2

Range : f (x) \leq \frac{- 4 2 - 6}{5} or f (x) \geq \frac{4 2 - 6}{5}

X Intercepts : (- 8, 0), Y Intercepts : (0, - \frac{8}{3})

Asymptotes : Vertical x = - 3, x = 2, Horizontal y = 0

Extreme Points : Minimum (- 8 - 52, - \frac{2 ( 3 - 2 2 )}{5}), Maximum (- 8 + 52, - \frac{2 ( 2 2 + 3 )}{5})

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Range : (- \infty, \frac{- 4 2 - 6}{5}] \cup [\frac{4 2 - 6}{5}, \infty)

Solution steps

Domain of

\frac{2 x + 16}{( x + 3 ) ( x - 2 )} : x < - 3 or - 3 < x < 2 or x > 2

Range of

\frac{2 x + 16}{( x + 3 ) ( x - 2 )} : f (x) \leq \frac{- 4 2 - 6}{5} or f (x) \geq \frac{4 2 - 6}{5}

Axis interception points of

\frac{2 x + 16}{( x + 3 ) ( x - 2 )} :

X Intercepts

: (- 8, 0),

Y Intercepts

: (0, - \frac{8}{3})

Asymptotes of

\frac{2 x + 16}{( x + 3 ) ( x - 2 )} :

Vertical

: x = - 3, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{2 x + 16}{( x + 3 ) ( x - 2 )} :

Minimum

(- 8 - 52, - \frac{2 ( 3 - 2 2 )}{5}),

Maximum

(- 8 + 52, - \frac{2 ( 2 2 + 3 )}{5})

Popular Examples

f(x)=((x^2+1))/((x-4))

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

y = - x^{2} + 8 x - 20

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

f (x) = csc (\frac{x}{2})

f (x) = 8 - 3 ∣ 2 x + 5 ∣

Frequently Asked Questions (FAQ)

What is the f(x)=(2x+16)/((x+3)(x-2)) ?
The f(x)=(2x+16)/((x+3)(x-2)) is