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Popular Functions >

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

Graph

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Frequently Asked Questions (FAQ)

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