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Popular >

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

Solution

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

Solution

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

Range : f (x) \leq - 4 or f (x) > 0

Intercepts : None

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

Extreme Points : Maximum (\frac{1}{2}, - 4)

+1

Interval Notation

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

Range : (- \infty, - 4] \cup (0, \infty)

Solution steps

Domain of

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

Range of

\frac{1}{x ^{2} - x} : f (x) \leq - 4 or f (x) > 0

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0, x = 1,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(\frac{1}{2}, - 4)

Popular Examples

f(x)=(x^2-16)/(x-4)

f (x) = \frac{x ^{2} - 16}{x - 4}

f(x)=x^3-3x^2-9x+5

f (x) = x^{3} - 3 x^{2} - 9 x + 5

domain of g(x)=ln(x-1)+e^{x^2-3}+(x^2-4)^{5/3}domain

g (x) = ln (x - 1) + e^{x^{2} - 3} + (x^{2} - 4)^{\frac{5}{3}}

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

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

f (x) = \frac{3}{x + 1}

Frequently Asked Questions (FAQ)

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