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Popular >

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

Solution

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

Solution

Domain : x < 0 or 0 < x < 1 or x > 1

Range : f (x) \leq - 23 - 4 or f (x) \geq 23 - 4

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

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

Extreme Points : Minimum (- \frac{1 + 3}{2}, 2 (3 - 2)), Maximum (\frac{3 - 1}{2}, - 2 (3 + 2))

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 1) \cup (1, \infty)

Range : (- \infty, - 23 - 4] \cup [23 - 4, \infty)

Solution steps

Domain of

\frac{2 x + 1}{x ^{2} - x} : x < 0 or 0 < x < 1 or x > 1

Range of

\frac{2 x + 1}{x ^{2} - x} : f (x) \leq - 23 - 4 or f (x) \geq 23 - 4

Axis interception points of

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

X Intercepts

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

Asymptotes of

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

Vertical

: x = 0, x = 1,

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- \frac{1 + 3}{2}, 2 (3 - 2)),

Maximum

(\frac{3 - 1}{2}, - 2 (3 + 2))

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Frequently Asked Questions (FAQ)

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