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Popular >

f(x)=(x^2+4x+4)/(x^2+3x+2)

Solution

f (x) = \frac{x ^{2} + 4 x + 4}{x ^{2} + 3 x + 2}

Solution

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

Range : f (x) < 0 or 0 < f (x) < 1 or f (x) > 1

Y Intercepts : (0, 2)

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

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

\frac{x ^{2} + 4 x + 4}{x ^{2} + 3 x + 2} : x < - 2 or - 2 < x < - 1 or x > - 1

Range of

\frac{x ^{2} + 4 x + 4}{x ^{2} + 3 x + 2} : f (x) < 0 or 0 < f (x) < 1 or f (x) > 1

Axis interception points of

\frac{x ^{2} + 4 x + 4}{x ^{2} + 3 x + 2} :

Y Intercepts

: (0, 2)

Asymptotes of

\frac{x ^{2} + 4 x + 4}{x ^{2} + 3 x + 2} :

Vertical

: x = - 1,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} + 4 x + 4}{x ^{2} + 3 x + 2} :

None

Popular Examples

f(x)=x^3+2x-8+4x^2

f (x) = x^{3} + 2 x - 8 + 4 x^{2}

f(x)=(x^4-5x+7)/(x^2+1)

f (x) = \frac{x ^{4} - 5 x + 7}{x ^{2} + 1}

f(x)=4sin^2(x)cos^2(x)

f (x) = 4 sin^{2} (x) cos^{2} (x)

f(x)=(4x^2+4)/(2x^2-8)

f (x) = \frac{4 x ^{2} + 4}{2 x ^{2} - 8}

f (x) = 3 x^{2} - 7 x + 8

Frequently Asked Questions (FAQ)

What is the f(x)=(x^2+4x+4)/(x^2+3x+2) ?
The f(x)=(x^2+4x+4)/(x^2+3x+2) is