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Popular >

f(x)=(3x+6)/(x^2+2x-8)

Solution

f (x) = \frac{3 x + 6}{x ^{2} + 2 x - 8}

Solution

Domain : x < - 4 or - 4 < x < 2 or x > 2

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

X Intercepts : (- 2, 0), Y Intercepts : (0, - \frac{3}{4})

Asymptotes : Vertical x = - 4, x = 2, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 2) \cup (2, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{3 x + 6}{x ^{2} + 2 x - 8} : x < - 4 or - 4 < x < 2 or x > 2

Range of

\frac{3 x + 6}{x ^{2} + 2 x - 8} : - \infty < f (x) < \infty

Axis interception points of

\frac{3 x + 6}{x ^{2} + 2 x - 8} :

X Intercepts

: (- 2, 0),

Y Intercepts

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

Asymptotes of

\frac{3 x + 6}{x ^{2} + 2 x - 8} :

Vertical

: x = - 4, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{3 x + 6}{x ^{2} + 2 x - 8} :

None

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Frequently Asked Questions (FAQ)

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