en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

g(x)=(x-2)/(x^2+4x+4)

Solution

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

Solution

Domain : x < - 2 or x > - 2

Range : f (x) \leq \frac{1}{16}

X Intercepts : (2, 0), Y Intercepts : (0, - \frac{1}{2})

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

Extreme Points : Maximum (6, \frac{1}{16})

+1

Interval Notation

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

Range : (- \infty, \frac{1}{16}]

Solution steps

Domain of

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

Range of

\frac{x - 2}{x ^{2} + 4 x + 4} : f (x) \leq \frac{1}{16}

Axis interception points of

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

X Intercepts

: (2, 0),

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

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

Vertical

: x = - 2,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(6, \frac{1}{16})

Popular Examples

f (x) = 9 cos^{2} (x)

f(x)= 3/(-4x-2)

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

f(x)=(sqrt(x)-sqrt(10))/(18)

f (x) = \frac{x - 10}{18}

f(x)=(-6x^2+2x-1)/(3x^2-40x+2)

f (x) = \frac{- 6 x ^{2} + 2 x - 1}{3 x ^{2} - 40 x + 2}

f(x)=(x^2+1+ln(x))/x

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

Frequently Asked Questions (FAQ)

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