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Popular >

f(x)=(4x-1)/(2x^2+3x-1)

Solution

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

Solution

Domain : x < \frac{- 3 - 17}{4} or \frac{- 3 - 17}{4} < x < \frac{- 3 + 17}{4} or x > \frac{- 3 + 17}{4}

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

X Intercepts : (\frac{1}{4}, 0), Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{- 3 - 17}{4}, x = \frac{- 3 + 17}{4}, Horizontal y = 0

Extreme Points : None

+1

Solution steps

Domain of

\frac{4 x - 1}{2 x ^{2} + 3 x - 1} : x < \frac{- 3 - 17}{4} or \frac{- 3 - 17}{4} < x < \frac{- 3 + 17}{4} or x > \frac{- 3 + 17}{4}

Range of

\frac{4 x - 1}{2 x ^{2} + 3 x - 1} : - \infty < f (x) < \infty

Axis interception points of

\frac{4 x - 1}{2 x ^{2} + 3 x - 1} :

X Intercepts

: (\frac{1}{4}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{4 x - 1}{2 x ^{2} + 3 x - 1} :

Vertical

: x = \frac{- 3 - 17}{4}, x = \frac{- 3 + 17}{4},

Horizontal

: y = 0

Extreme Points of

\frac{4 x - 1}{2 x ^{2} + 3 x - 1} :

None

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Frequently Asked Questions (FAQ)

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