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Popular >

f(x)= 6/(x^2-2x)

Solution

f (x) = \frac{6}{x ^{2} - 2 x}

Solution

Domain : x < 0 or 0 < x < 2 or x > 2

Range : f (x) \leq - 6 or f (x) > 0

Intercepts : None

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

Extreme Points : Maximum (1, - 6)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 2) \cup (2, \infty)

Range : (- \infty, - 6] \cup (0, \infty)

Solution steps

Domain of

\frac{6}{x ^{2} - 2 x} : x < 0 or 0 < x < 2 or x > 2

Range of

\frac{6}{x ^{2} - 2 x} : f (x) \leq - 6 or f (x) > 0

Axis interception points of

\frac{6}{x ^{2} - 2 x} :

None

Asymptotes of

\frac{6}{x ^{2} - 2 x} :

Vertical

: x = 0, x = 2,

Horizontal

: y = 0

Extreme Points of

\frac{6}{x ^{2} - 2 x} :

Maximum

(1, - 6)

Popular Examples

f(x)=-sqrt(x+11)-3

f (x) = - x + 11 - 3

y = - 2 x^{2} + 14 x + 60

f(x)=(x-7)/(x^2+4x-5)

f (x) = \frac{x - 7}{x ^{2} + 4 x - 5}

f(x)=(2x-1)/(5-x)

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

f (x) = 1 - (x - 2)^{3}

Frequently Asked Questions (FAQ)

What is the f(x)= 6/(x^2-2x) ?
The f(x)= 6/(x^2-2x) is