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Popular >

f(x)=(x^2-5)/(x^2-x-2)

Solution

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

Solution

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

Range : f (x) \leq \frac{10}{9} or f (x) \geq 2

X Intercepts : (5, 0), (- 5, 0), Y Intercepts : (0, \frac{5}{2})

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

Extreme Points : Minimum (1, 2), Maximum (5, \frac{10}{9})

+1

Interval Notation

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

Range : (- \infty, \frac{10}{9}] \cup [2, \infty)

Solution steps

Domain of

\frac{x ^{2} - 5}{x ^{2} - x - 2} : x < - 1 or - 1 < x < 2 or x > 2

Range of

\frac{x ^{2} - 5}{x ^{2} - x - 2} : f (x) \leq \frac{10}{9} or f (x) \geq 2

Axis interception points of

\frac{x ^{2} - 5}{x ^{2} - x - 2} :

X Intercepts

: (5, 0), (- 5, 0),

Y Intercepts

: (0, \frac{5}{2})

Asymptotes of

\frac{x ^{2} - 5}{x ^{2} - x - 2} :

Vertical

: x = - 1, x = 2,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 5}{x ^{2} - x - 2} :

Minimum

(1, 2),

Maximum

(5, \frac{10}{9})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-5)/(x^2-x-2) ?
The f(x)=(x^2-5)/(x^2-x-2) is