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Popular >

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

Solution

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

Solution

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

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

Y Intercepts : (0, - \frac{1}{3})

Asymptotes : Vertical x = 3, Horizontal y = 0

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, - \frac{1}{3})

Asymptotes of

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

Vertical

: x = 3,

Horizontal

: y = 0

Extreme Points of

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

None

Popular Examples

domain of f(x)=ln(x+1)+e^{x^2-3}+(x^2-4)^{5/3}domain

f (x) = ln (x + 1) + e^{x^{2} - 3} + (x^{2} - 4)^{\frac{5}{3}}

f (θ) = cot (3 θ)

y = lo g_{\frac{2}{5}} (x)

f(x)=3x^5+ln(x)+4x^3

f (x) = 3 x^{5} + ln (x) + 4 x^{3}

f(x)=x-2arctan(x)

f (x) = x - 2 arctan (x)

Frequently Asked Questions (FAQ)

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