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Popular Functions >

f(x)=(x+1)/(x^2+2x+3)

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{2 2} \leq f (x) \leq \frac{1}{2 2}

X Intercepts : (- 1, 0), Y Intercepts : (0, \frac{1}{3})

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2 2}, \frac{1}{2 2}]

Solution steps

Domain of

\frac{x + 1}{x ^{2} + 2 x + 3} : - \infty < x < \infty

Range of

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

Axis interception points of

\frac{x + 1}{x ^{2} + 2 x + 3} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, \frac{1}{3})

Asymptotes of

\frac{x + 1}{x ^{2} + 2 x + 3} :

Horizontal

: y = 0

Extreme Points of

\frac{x + 1}{x ^{2} + 2 x + 3} :

Minimum

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

Maximum

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

Graph

Popular Examples

f(x)=arctan(sqrt((1-x)/(1+x)))

f(n)=n^2-12n+35

f(a)=log_{10}(3)-(log_{10}(a))/2

Frequently Asked Questions (FAQ)

What is the f(x)=(x+1)/(x^2+2x+3) ?
The f(x)=(x+1)/(x^2+2x+3) is