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Popular >

f(x)=(3x+1)/(x^2+4x+4)

Solution

f (x) = \frac{3 x + 1}{x ^{2} + 4 x + 4}

Solution

Domain : x < - 2 or x > - 2

Range : f (x) \leq \frac{9}{20}

X Intercepts : (- \frac{1}{3}, 0), Y Intercepts : (0, \frac{1}{4})

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

Extreme Points : Maximum (\frac{4}{3}, \frac{9}{20})

+1

Solution steps

Domain of

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

Range of

\frac{3 x + 1}{x ^{2} + 4 x + 4} : f (x) \leq \frac{9}{20}

Axis interception points of

\frac{3 x + 1}{x ^{2} + 4 x + 4} :

X Intercepts

: (- \frac{1}{3}, 0),

Y Intercepts

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

Asymptotes of

\frac{3 x + 1}{x ^{2} + 4 x + 4} :

Vertical

: x = - 2,

Horizontal

: y = 0

Extreme Points of

\frac{3 x + 1}{x ^{2} + 4 x + 4} :

Maximum

(\frac{4}{3}, \frac{9}{20})

Popular Examples

h (x) = (x - 5)^{2} - 7

f(x)=(x-2)^2-16

f (x) = (x - 2)^{2} - 16

f(x)=(x-4)/(1-x)

f (x) = \frac{x - 4}{1 - x}

f (s) = s^{2} + 4 s + 10

f(x)=(4x^2-16)/(2x-4)

f (x) = \frac{4 x ^{2} - 16}{2 x - 4}

Frequently Asked Questions (FAQ)

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