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Popular >

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

Solution

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

Solution

Domain : x < - 2 or - 2 < x < 0 or 0 < x < 1 or x > 1

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

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

Asymptotes : Vertical x = - 2, x = 0, x = 1, Horizontal y = 0

Extreme Points : Maximum (0.48736 \dots, - 6.39595 \dots)

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 0) \cup (0, 1) \cup (1, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{2 x + 3}{x ^{3} + x ^{2} - 2 x} : x < - 2 or - 2 < x < 0 or 0 < x < 1 or x > 1

Range of

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

Axis interception points of

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

X Intercepts

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

Asymptotes of

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

Vertical

: x = - 2, x = 0, x = 1,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(0.48736 \dots, - 6.39595 \dots)

Popular Examples

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f (x) = \frac{1 - 4 x ^{2}}{6 x ^{3} + x ∣ 2 - 3 x ∣ - 1}

f(x)= 1/4 log_{3}(x^2-x-2)

f (x) = \frac{1}{4} lo g_{3} (x^{2} - x - 2)

f(x)=-2x^4+17x^3-37x^2+7x+15

f (x) = - 2 x^{4} + 17 x^{3} - 37 x^{2} + 7 x + 15

Frequently Asked Questions (FAQ)

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