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Popular >

f(x)=(2x^2-x-1)/(-2x+x^2-8)

Solution

f (x) = \frac{2 x ^{2} - x - 1}{- 2 x + x ^{2} - 8}

Solution

Domain : x < - 2 or - 2 < x < 4 or x > 4

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

X Intercepts : (1, 0), (- \frac{1}{2}, 0), Y Intercepts : (0, \frac{1}{8})

Asymptotes : Vertical x = - 2, x = 4, Horizontal y = 2

Extreme Points : Minimum (- 5 - 33, \frac{2 + 3}{2}), Maximum (33 - 5, \frac{2 - 3}{2})

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, 4) \cup (4, \infty)

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

Solution steps

Domain of

\frac{2 x ^{2} - x - 1}{- 2 x + x ^{2} - 8} : x < - 2 or - 2 < x < 4 or x > 4

Range of

\frac{2 x ^{2} - x - 1}{- 2 x + x ^{2} - 8} : f (x) \leq - \frac{3}{2} + 1 or f (x) \geq \frac{3}{2} + 1

Axis interception points of

\frac{2 x ^{2} - x - 1}{- 2 x + x ^{2} - 8} :

X Intercepts

: (1, 0), (- \frac{1}{2}, 0),

Y Intercepts

: (0, \frac{1}{8})

Asymptotes of

\frac{2 x ^{2} - x - 1}{- 2 x + x ^{2} - 8} :

Vertical

: x = - 2, x = 4,

Horizontal

: y = 2

Extreme Points of

\frac{2 x ^{2} - x - 1}{- 2 x + x ^{2} - 8} :

Minimum

(- 5 - 33, \frac{2 + 3}{2}),

Maximum

(33 - 5, \frac{2 - 3}{2})

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Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2-x-1)/(-2x+x^2-8) ?
The f(x)=(2x^2-x-1)/(-2x+x^2-8) is