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Popular >

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

Solution

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

Solution

Domain : x < - \frac{1}{2} or - \frac{1}{2} < x < \frac{3}{2} or x > \frac{3}{2}

Range : f (x) \leq - \frac{1}{4} or f (x) > 0

Y Intercepts : (0, - \frac{1}{3})

Asymptotes : Vertical x = - \frac{1}{2}, x = \frac{3}{2}, Horizontal y = 0

Extreme Points : Maximum (\frac{1}{2}, - \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Range : (- \infty, - \frac{1}{4}] \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{1}{4 x ^{2} - 4 x - 3} : f (x) \leq - \frac{1}{4} or f (x) > 0

Axis interception points of

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

Y Intercepts

: (0, - \frac{1}{3})

Asymptotes of

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

Vertical

: x = - \frac{1}{2}, x = \frac{3}{2},

Horizontal

: y = 0

Extreme Points of

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

Maximum

(\frac{1}{2}, - \frac{1}{4})

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Frequently Asked Questions (FAQ)

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