en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=(3x^2)/(x^2+2x-8)

Solution

f (x) = \frac{3 x ^{2}}{x ^{2} + 2 x - 8}

Solution

Domain : x < - 4 or - 4 < x < 2 or x > 2

Range : f (x) \leq 0 or f (x) \geq \frac{8}{3}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 4, x = 2, Horizontal y = 3

Extreme Points : Maximum (0, 0), Minimum (8, \frac{8}{3})

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 2) \cup (2, \infty)

Range : (- \infty, 0] \cup [\frac{8}{3}, \infty)

Solution steps

Domain of

\frac{3 x ^{2}}{x ^{2} + 2 x - 8} : x < - 4 or - 4 < x < 2 or x > 2

Range of

\frac{3 x ^{2}}{x ^{2} + 2 x - 8} : f (x) \leq 0 or f (x) \geq \frac{8}{3}

Axis interception points of

\frac{3 x ^{2}}{x ^{2} + 2 x - 8} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{3 x ^{2}}{x ^{2} + 2 x - 8} :

Vertical

: x = - 4, x = 2,

Horizontal

: y = 3

Extreme Points of

\frac{3 x ^{2}}{x ^{2} + 2 x - 8} :

Maximum

(0, 0),

Minimum

(8, \frac{8}{3})

Popular Examples

f(x)=\sqrt[3]{2x+4}

y = 4 sin (2 x) + 3

f(s)=(s^2+s+e^{-s})/(s^3+3s^2+3s+1)

f (s) = \frac{s ^{2} + s + e ^{- s}}{s ^{3} + 3 s ^{2} + 3 s + 1}

f(x)=-3x^2-12x-8

f (x) = - 3 x^{2} - 12 x - 8

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

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

Frequently Asked Questions (FAQ)

What is the f(x)=(3x^2)/(x^2+2x-8) ?
The f(x)=(3x^2)/(x^2+2x-8) is