en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=((12x-3))/((9x^2-4))

Solution

f (x) = \frac{( 12 x - 3 )}{( 9 x ^{2} - 4 )}

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (\frac{1}{4}, 0), Y Intercepts : (0, \frac{3}{4})

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

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{12 x - 3}{9 x ^{2} - 4} : x < - \frac{2}{3} or - \frac{2}{3} < x < \frac{2}{3} or x > \frac{2}{3}

Range of

\frac{12 x - 3}{9 x ^{2} - 4} : - \infty < f (x) < \infty

Axis interception points of

\frac{12 x - 3}{9 x ^{2} - 4} :

X Intercepts

: (\frac{1}{4}, 0),

Y Intercepts

: (0, \frac{3}{4})

Asymptotes of

\frac{12 x - 3}{9 x ^{2} - 4} :

Vertical

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

Horizontal

: y = 0

Extreme Points of

\frac{12 x - 3}{9 x ^{2} - 4} :

None

Popular Examples

distance (5,8),(-3,4)distance

(5, 8), (- 3, 4)

midpoint (5,-6),(-7,-2)midpoint

(5, - 6), (- 7, - 2)

domain of f(x)=((x^4))/(x^2+x-12)domain

f (x) = \frac{( x ^{4} )}{x ^{2} + x - 12}

shift f(x)=5sin(2/3 x+2/9 pi)shift

f (x) = 5 sin (\frac{2}{3} x + \frac{2}{9} π)

asymptotes of f(x)=(x^2+x-6)/(x-3)asymptotes

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

Frequently Asked Questions (FAQ)

What is the f(x)=((12x-3))/((9x^2-4)) ?
The f(x)=((12x-3))/((9x^2-4)) is