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Popular >

r(x)=(2x-1)/(x^2-x-2)

Solution

r (x) = \frac{2 x - 1}{x ^{2} - x - 2}

Solution

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

Range : - \infty < f (x) < \infty

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

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

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{2 x - 1}{x ^{2} - x - 2} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

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

Y Intercepts

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

Asymptotes of

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

Vertical

: x = - 1, x = 2,

Horizontal

: y = 0

Extreme Points of

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

None

Popular Examples

f(x)= 1/(2cos^2(x))

f (x) = \frac{1}{2 cos ^{2} ( x )}

f(x)=(-1)/(x^2+5x-21)

f (x) = \frac{- 1}{x ^{2} + 5 x - 21}

y = x^{2} - x

f (x) = 4 x^{3} - 3 x^{4}

f (x) = x^{2} - 7 x - 5

Frequently Asked Questions (FAQ)

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