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Popular >

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

Solution

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

Solution

Domain : x < - 3 or - 3 < x < - 1 or x > - 1

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

Y Intercepts : (0, 1)

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

Extreme Points : None

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 0

Extreme Points of

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

None

Popular Examples

f(x)=2x^4+3x^3-x^2+3x-12

f (x) = 2 x^{4} + 3 x^{3} - x^{2} + 3 x - 12

f (x) = e^{3 x + 1}

f (x) = x^{3} - 27 x + 2

y = x + 0

Y (x) = x + 4

Frequently Asked Questions (FAQ)

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