en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Solution

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

Solution

Domain : x < - 2 or - 2 < x < \frac{3}{2} or x > \frac{3}{2}

Range : f (x) \leq - \frac{8}{49} or f (x) > 0

Y Intercepts : (0, - \frac{1}{6})

Asymptotes : Vertical x = - 2, x = \frac{3}{2}, Horizontal y = 0

Extreme Points : Maximum (- \frac{1}{4}, - \frac{8}{49})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Range : (- \infty, - \frac{8}{49}] \cup (0, \infty)

Solution steps

Domain of

\frac{1}{2 x ^{2} + x - 6} : x < - 2 or - 2 < x < \frac{3}{2} or x > \frac{3}{2}

Range of

\frac{1}{2 x ^{2} + x - 6} : f (x) \leq - \frac{8}{49} or f (x) > 0

Axis interception points of

\frac{1}{2 x ^{2} + x - 6} :

Y Intercepts

: (0, - \frac{1}{6})

Asymptotes of

\frac{1}{2 x ^{2} + x - 6} :

Vertical

: x = - 2, x = \frac{3}{2},

Horizontal

: y = 0

Extreme Points of

\frac{1}{2 x ^{2} + x - 6} :

Maximum

(- \frac{1}{4}, - \frac{8}{49})

Graph

Popular Examples

domain of f(x)=2x^2+sqrt(3)

domain of f(x)=(\sqrt[3]{x})/(x-3)

periodicity of f(x)=sin(x-3)

f(t)=(2t)/(4+t^2)

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(2x^2+x-6) ?
The f(x)= 1/(2x^2+x-6) is