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Popular >

y=(x^2+3x+1)/(4x^2-9)

Solution

y = \frac{x ^{2} + 3 x + 1}{4 x ^{2} - 9}

Solution

Domain : x < - \frac{3}{2} or - \frac{3}{2} < x < \frac{3}{2} or x > \frac{3}{2}

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

X Intercepts : (\frac{- 3 + 5}{2}, 0), (\frac{- 3 - 5}{2}, 0), Y Intercepts : (0, - \frac{1}{9})

Asymptotes : Vertical x = - \frac{3}{2}, x = \frac{3}{2}, Horizontal y = \frac{1}{4}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - \frac{3}{2}) \cup (- \frac{3}{2}, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{2} + 3 x + 1}{4 x ^{2} - 9} : x < - \frac{3}{2} or - \frac{3}{2} < x < \frac{3}{2} or x > \frac{3}{2}

Range of

\frac{x ^{2} + 3 x + 1}{4 x ^{2} - 9} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{2} + 3 x + 1}{4 x ^{2} - 9} :

X Intercepts

: (\frac{- 3 + 5}{2}, 0), (\frac{- 3 - 5}{2}, 0),

Y Intercepts

: (0, - \frac{1}{9})

Asymptotes of

\frac{x ^{2} + 3 x + 1}{4 x ^{2} - 9} :

Vertical

: x = - \frac{3}{2}, x = \frac{3}{2},

Horizontal

: y = \frac{1}{4}

Extreme Points of

\frac{x ^{2} + 3 x + 1}{4 x ^{2} - 9} :

None

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Frequently Asked Questions (FAQ)

What is the y=(x^2+3x+1)/(4x^2-9) ?
The y=(x^2+3x+1)/(4x^2-9) is