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Popular >

f(x)=(3x-6)/(x^2-4)

Solution

f (x) = \frac{3 x - 6}{x ^{2} - 4}

Solution

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

Range : f (x) < 0 or 0 < f (x) < \frac{3}{4} or f (x) > \frac{3}{4}

Y Intercepts : (0, \frac{3}{2})

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

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, 0) \cup (0, \frac{3}{4}) \cup (\frac{3}{4}, \infty)

Solution steps

Domain of

\frac{3 x - 6}{x ^{2} - 4} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{3 x - 6}{x ^{2} - 4} : f (x) < 0 or 0 < f (x) < \frac{3}{4} or f (x) > \frac{3}{4}

Axis interception points of

\frac{3 x - 6}{x ^{2} - 4} :

Y Intercepts

: (0, \frac{3}{2})

Asymptotes of

\frac{3 x - 6}{x ^{2} - 4} :

Vertical

: x = - 2,

Horizontal

: y = 0

Extreme Points of

\frac{3 x - 6}{x ^{2} - 4} :

None

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Frequently Asked Questions (FAQ)

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