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Popular >

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

Solution

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

Solution

Domain : x < - 1 or x > 2

Range : f (x) \leq - \frac{2 2}{3} or f (x) > 1

Intercepts : None

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

Extreme Points : Maximum (- 4, - \frac{2 2}{3})

+1

Interval Notation

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

Range : (- \infty, - \frac{2 2}{3}] \cup (1, \infty)

Solution steps

Domain of

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

Range of

\frac{x}{x ^{2} - x - 2} : f (x) \leq - \frac{2 2}{3} or f (x) > 1

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = - 1, x = 2,

Horizontal

: y = 1, y = - 1

Extreme Points of

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

Maximum

(- 4, - \frac{2 2}{3})

Popular Examples

f (x) = \frac{2}{5 x + 1}

y = (4 x - 10)^{4}

f (x) = 5 - 4 x + 3 x

y = \frac{2}{3} x + \frac{3}{2}

g(s)=(50)/((s+50))

g (s) = \frac{50}{( s + 50 )}

Frequently Asked Questions (FAQ)

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