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Popular Functions >

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

Solution

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

Solution

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

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

X Intercepts : (- 4, 0), (1, 0), Y Intercepts : (0, 4)

Asymptotes : Vertical x = - \frac{1}{2}, Slant y = - \frac{1}{2} x - \frac{5}{4}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 4, 0), (1, 0),

Y Intercepts

: (0, 4)

Asymptotes of

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

Vertical

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

Slant

: y = - \frac{1}{2} x - \frac{5}{4}

Extreme Points of

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

None

Graph

Popular Examples

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f(x)=sec^2(x)-tan(x)-3

Frequently Asked Questions (FAQ)

What is the f(x)=(-x^2-3x+4)/(2x+1) ?
The f(x)=(-x^2-3x+4)/(2x+1) is