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Popular Functions >

f(x)=(-6x^3+8x^2)/(4x-9)

Solution

f (x) = \frac{- 6 x ^{3} + 8 x ^{2}}{4 x - 9}

Solution

Domain : x < \frac{9}{4} or x > \frac{9}{4}

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

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

Asymptotes : Vertical x = \frac{9}{4}

Extreme Points : Maximum (0, 0), Minimum (\frac{97 - 2497}{48}, - \frac{11651 - 227 2497}{768}), Maximum (\frac{97 + 2497}{48}, - \frac{227 2497 + 11651}{768})

+1

Interval Notation

Domain : (- \infty, \frac{9}{4}) \cup (\frac{9}{4}, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{- 6 x ^{3} + 8 x ^{2}}{4 x - 9} : x < \frac{9}{4} or x > \frac{9}{4}

Range of

\frac{- 6 x ^{3} + 8 x ^{2}}{4 x - 9} : - \infty < f (x) < \infty

Axis interception points of

\frac{- 6 x ^{3} + 8 x ^{2}}{4 x - 9} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

\frac{- 6 x ^{3} + 8 x ^{2}}{4 x - 9} :

Vertical

: x = \frac{9}{4}

Extreme Points of

\frac{- 6 x ^{3} + 8 x ^{2}}{4 x - 9} :

Maximum

(0, 0),

Minimum

(\frac{97 - 2497}{48}, - \frac{11651 - 227 2497}{768}),

Maximum

(\frac{97 + 2497}{48}, - \frac{227 2497 + 11651}{768})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(-6x^3+8x^2)/(4x-9) ?
The f(x)=(-6x^3+8x^2)/(4x-9) is