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Popular >

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

Solution

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

Solution

Domain : x < - 1 or - 1 < x < 3 or x > 3

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

Y Intercepts : (0, 1)

Asymptotes : Vertical x = - 1, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 3) \cup (3, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 0

Extreme Points of

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

None

Graph

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Frequently Asked Questions (FAQ)

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