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Popular >

f(x)=(6x^3+9x^2)/(3x+5)

Solution

f (x) = \frac{6 x ^{3} + 9 x ^{2}}{3 x + 5}

Solution

Domain : x < - \frac{5}{3} or x > - \frac{5}{3}

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

X Intercepts : (0, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - \frac{5}{3}

Extreme Points : Minimum (- 2, 12), Maximum (- \frac{5}{4}, \frac{15}{8}), Minimum (0, 0)

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Solution steps

Domain of

\frac{6 x ^{3} + 9 x ^{2}}{3 x + 5} : x < - \frac{5}{3} or x > - \frac{5}{3}

Range of

\frac{6 x ^{3} + 9 x ^{2}}{3 x + 5} : - \infty < f (x) < \infty

Axis interception points of

\frac{6 x ^{3} + 9 x ^{2}}{3 x + 5} :

X Intercepts

: (0, 0), (- \frac{3}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{6 x ^{3} + 9 x ^{2}}{3 x + 5} :

Vertical

: x = - \frac{5}{3}

Extreme Points of

\frac{6 x ^{3} + 9 x ^{2}}{3 x + 5} :

Minimum

(- 2, 12),

Maximum

(- \frac{5}{4}, \frac{15}{8}),

Minimum

(0, 0)

Popular Examples

f(x)=80x^5+4x^3-2x^2+5

f (x) = 80 x^{5} + 4 x^{3} - 2 x^{2} + 5

f(x)=2sec(3x)-1

f (x) = 2 sec (3 x) - 1

f (x) = e^{5} + ln (9)

y=-0.05x^2+0.7x

y = - 0.05 x^{2} + 0.7 x

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

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

Frequently Asked Questions (FAQ)

What is the f(x)=(6x^3+9x^2)/(3x+5) ?
The f(x)=(6x^3+9x^2)/(3x+5) is