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Popular >

f(x)=(x-3)/(x^2-x-6)

Solution

f (x) = \frac{x - 3}{x ^{2} - x - 6}

Solution

Domain : x < - 2 or - 2 < x < 3 or x > 3

Range : f (x) < 0 or 0 < f (x) < \frac{1}{5} or f (x) > \frac{1}{5}

Y Intercepts : (0, \frac{1}{2})

Asymptotes : Vertical x = - 2, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 3) \cup (3, \infty)

Range : (- \infty, 0) \cup (0, \frac{1}{5}) \cup (\frac{1}{5}, \infty)

Solution steps

Domain of

\frac{x - 3}{x ^{2} - x - 6} : x < - 2 or - 2 < x < 3 or x > 3

Range of

\frac{x - 3}{x ^{2} - x - 6} : f (x) < 0 or 0 < f (x) < \frac{1}{5} or f (x) > \frac{1}{5}

Axis interception points of

\frac{x - 3}{x ^{2} - x - 6} :

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

\frac{x - 3}{x ^{2} - x - 6} :

Vertical

: x = - 2,

Horizontal

: y = 0

Extreme Points of

\frac{x - 3}{x ^{2} - x - 6} :

None

Popular Examples

y = x^{2} + 8 x - 6

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

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Frequently Asked Questions (FAQ)

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