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Popular >

f(x)=(x^2-3x-10)/(x^3+3x^2)

Solution

f (x) = \frac{x ^{2} - 3 x - 10}{x ^{3} + 3 x ^{2}}

Solution

Domain : x < - 3 or - 3 < x < 0 or x > 0

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

X Intercepts : (5, 0), (- 2, 0)

Asymptotes : Vertical x = - 3, x = 0, Horizontal y = 0

Extreme Points : Maximum (10.33521 \dots, 0.04620 \dots)

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 0) \cup (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{2} - 3 x - 10}{x ^{3} + 3 x ^{2}} : x < - 3 or - 3 < x < 0 or x > 0

Range of

\frac{x ^{2} - 3 x - 10}{x ^{3} + 3 x ^{2}} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{2} - 3 x - 10}{x ^{3} + 3 x ^{2}} :

X Intercepts

: (5, 0), (- 2, 0)

Asymptotes of

\frac{x ^{2} - 3 x - 10}{x ^{3} + 3 x ^{2}} :

Vertical

: x = - 3, x = 0,

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2} - 3 x - 10}{x ^{3} + 3 x ^{2}} :

Maximum

(10.33521 \dots, 0.04620 \dots)

Popular Examples

f(x)=3x^2-24x+51

f (x) = 3 x^{2} - 24 x + 51

y = \frac{1}{7} x^{2}

f(x)=(x+4)/(x^2-2x-24)

f (x) = \frac{x + 4}{x ^{2} - 2 x - 24}

f(x)=(2x+5)/(x+3)

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

f(x)=\sqrt[3]{x}e^x

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-3x-10)/(x^3+3x^2) ?
The f(x)=(x^2-3x-10)/(x^3+3x^2) is