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Popular >

y= 1/(x(x-3)^2)

Solution

y = \frac{1}{x ( x - 3 ) ^{2}}

Solution

Domain : x < 0 or 0 < x < 3 or x > 3

Range : f (x) < 0 or f (x) > 0

Intercepts : None

Asymptotes : Vertical x = 0, x = 3, Horizontal y = 0

Extreme Points : Minimum (1, \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 3) \cup (3, \infty)

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

Solution steps

Domain of

\frac{1}{x ( x - 3 ) ^{2}} : x < 0 or 0 < x < 3 or x > 3

Range of

\frac{1}{x ( x - 3 ) ^{2}} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{1}{x ( x - 3 ) ^{2}} :

None

Asymptotes of

\frac{1}{x ( x - 3 ) ^{2}} :

Vertical

: x = 0, x = 3,

Horizontal

: y = 0

Extreme Points of

\frac{1}{x ( x - 3 ) ^{2}} :

Minimum

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

Popular Examples

y = - 2 x^{2} - 12 x - 10

f(x)=x^3+12x^2+21x+10

f (x) = x^{3} + 12 x^{2} + 21 x + 10

y = 0.5 x + 4

y=(x^3)/3-(x^2)/2-2x+1/3

y = \frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 2 x + \frac{1}{3}

f(x)=(x^2+7x+11)/(x+2)

f (x) = \frac{x ^{2} + 7 x + 11}{x + 2}

Frequently Asked Questions (FAQ)

What is the y= 1/(x(x-3)^2) ?
The y= 1/(x(x-3)^2) is