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Popular >

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

Solution

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

Solution

Domain : x < - 1 or - 1 < x < 2 or x > 2

Range : f (x) \leq - 1 or f (x) \geq - \frac{1}{9}

X Intercepts : (- 2, 0), Y Intercepts : (0, - 1)

Asymptotes : Vertical x = - 1, x = 2, Horizontal y = 0

Extreme Points : Minimum (- 4, - \frac{1}{9}), Maximum (0, - 1)

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 2) \cup (2, \infty)

Range : (- \infty, - 1] \cup [- \frac{1}{9}, \infty)

Solution steps

Domain of

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

Range of

\frac{x + 2}{x ^{2} - x - 2} : f (x) \leq - 1 or f (x) \geq - \frac{1}{9}

Axis interception points of

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

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Vertical

: x = - 1, x = 2,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 4, - \frac{1}{9}),

Maximum

(0, - 1)

Popular Examples

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y = - x^{2} - 6 x - 5

f(x)=(x+2)/(1-x)

f (x) = \frac{x + 2}{1 - x}

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y= 3/(x^3)+x^{-4}

y = \frac{3}{x ^{3}} + x^{- 4}

Frequently Asked Questions (FAQ)

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