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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^3+x|)/((e^x|x|+1))

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

f (x) = \frac{1}{7 x - 9}

y = (x + 6 x) (x + 4)

f(x)= 1/(log_{10)(x^2+1)}

f (x) = \frac{1}{lo g _{10} ( x ^{2} + 1 )}

y=arcsin(1/(2*sqrt(1+x)+\sqrt{1-x)})

y = arcsin (\frac{1}{2 \cdot 1 + x + 1 - x})

Frequently Asked Questions (FAQ)

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