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Popular >

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

Solution

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

Solution

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

Range : f (x) < - \frac{2}{5} or - \frac{2}{5} < f (x) < 1 or f (x) > 1

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

Asymptotes : Vertical x = 3, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, - \frac{2}{5}) \cup (- \frac{2}{5}, 1) \cup (1, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + 6 x + 8}{x ^{2} - x - 6} : f (x) < - \frac{2}{5} or - \frac{2}{5} < f (x) < 1 or f (x) > 1

Axis interception points of

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

X Intercepts

: (- 4, 0),

Y Intercepts

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

Asymptotes of

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

Vertical

: x = 3,

Horizontal

: y = 1

Extreme Points of

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

None

Popular Examples

f (x) = x^{π}

f(x)=(10x-3)/(3x^2-5x-8)

f (x) = \frac{10 x - 3}{3 x ^{2} - 5 x - 8}

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f (θ) = cos (2 θ) cos (4 θ)

f(t)=(2-3t^2)^3

f (t) = (2 - 3 t^{2})^{3}

y = \frac{1}{3} x - 7

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+6x+8)/(x^2-x-6) ?
The f(x)=(x^2+6x+8)/(x^2-x-6) is