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+x+1)/(x+2)

Solution

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

Solution

Domain : x < - 2 or x > - 2

Range : f (x) \leq - 23 - 3 or f (x) \geq 23 - 3

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

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

Extreme Points : Maximum (- 2 - 3, - 23 - 3), Minimum (- 2 + 3, 23 - 3)

+1

Interval Notation

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

Range : (- \infty, - 23 - 3] \cup [23 - 3, \infty)

Solution steps

Domain of

\frac{x ^{2} + x + 1}{x + 2} : x < - 2 or x > - 2

Range of

\frac{x ^{2} + x + 1}{x + 2} : f (x) \leq - 23 - 3 or f (x) \geq 23 - 3

Axis interception points of

\frac{x ^{2} + x + 1}{x + 2} :

Y Intercepts

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

Asymptotes of

\frac{x ^{2} + x + 1}{x + 2} :

Vertical

: x = - 2,

Slant

: y = x - 1

Extreme Points of

\frac{x ^{2} + x + 1}{x + 2} :

Maximum

(- 2 - 3, - 23 - 3),

Minimum

(- 2 + 3, 23 - 3)

Popular Examples

f (x) = tan (- x)

h(x)=x^3+3x^2-x-3

h (x) = x^{3} + 3 x^{2} - x - 3

g(x)= x/(x^2+16)

g (x) = \frac{x}{x ^{2} + 16}

Q(x)=x^3-2x^2-5x+6

Q (x) = x^{3} - 2 x^{2} - 5 x + 6

h (x) = x^{2} + 2 x - 8

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+x+1)/(x+2) ?
The f(x)=(x^2+x+1)/(x+2) is