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Popular >

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

Solution

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

Solution

Domain : x < - \frac{1}{2} or - \frac{1}{2} < x < 0 or x > 0

Range : f (x) < - 2 or - 2 < f (x) < \frac{3}{2} or f (x) > \frac{3}{2}

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

Asymptotes : Vertical x = - \frac{1}{2}, Horizontal y = \frac{3}{2}

Extreme Points : None

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Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Asymptotes of

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

Vertical

: x = - \frac{1}{2},

Horizontal

: y = \frac{3}{2}

Extreme Points of

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

None

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Frequently Asked Questions (FAQ)

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