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Popular >

f(x)=(4x^2+4x)/((x+1)(x+2))

Solution

f (x) = \frac{4 x ^{2} + 4 x}{( x + 1 ) ( x + 2 )}

Solution

Domain : x < - 2 or - 2 < x < - 1 or x > - 1

Range : f (x) < - 4 or - 4 < f (x) < 4 or f (x) > 4

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 2, Horizontal y = 4

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, - 1) \cup (- 1, \infty)

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

Solution steps

Domain of

\frac{4 x ^{2} + 4 x}{( x + 1 ) ( x + 2 )} : x < - 2 or - 2 < x < - 1 or x > - 1

Range of

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

Axis interception points of

\frac{4 x ^{2} + 4 x}{( x + 1 ) ( x + 2 )} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{4 x ^{2} + 4 x}{( x + 1 ) ( x + 2 )} :

Vertical

: x = - 2,

Horizontal

: y = 4

Extreme Points of

\frac{4 x ^{2} + 4 x}{( x + 1 ) ( x + 2 )} :

None

Popular Examples

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

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

y = - 3 x^{2} + 4 x + 10

f(x)=12x^3-65x^2+74x-24

f (x) = 12 x^{3} - 65 x^{2} + 74 x - 24

f(x)=sqrt((4-x^2))

f (x) = (4 - x^{2})

f(x)=(2x-6)/(x+3)

f (x) = \frac{2 x - 6}{x + 3}

Frequently Asked Questions (FAQ)

What is the f(x)=(4x^2+4x)/((x+1)(x+2)) ?
The f(x)=(4x^2+4x)/((x+1)(x+2)) is