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Popular >

h(x)=((x+1)^2)/(x(x+2))

Solution

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

Solution

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

Range : f (x) \leq 0 or f (x) > 1

X Intercepts : (- 1, 0)

Asymptotes : Vertical x = - 2, x = 0, Horizontal y = 1

Extreme Points : Maximum (- 1, 0)

+1

Interval Notation

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

Range : (- \infty, 0] \cup (1, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{( x + 1 ) ^{2}}{x ( x + 2 )} :

X Intercepts

: (- 1, 0)

Asymptotes of

\frac{( x + 1 ) ^{2}}{x ( x + 2 )} :

Vertical

: x = - 2, x = 0,

Horizontal

: y = 1

Extreme Points of

\frac{( x + 1 ) ^{2}}{x ( x + 2 )} :

Maximum

(- 1, 0)

Popular Examples

f (x) = x^{4} - x^{3} + 5

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y = e^{x} + sin (x)

f(x)=(x-5)/(x-3)

f (x) = \frac{x - 5}{x - 3}

f(x)=(tan(x))/(1+tan(x))

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

Frequently Asked Questions (FAQ)

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