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Popular >

f(x)=(x+4)/(x^2+9)

Solution

f (x) = \frac{x + 4}{x ^{2} + 9}

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{18} \leq f (x) \leq \frac{1}{2}

X Intercepts : (- 4, 0), Y Intercepts : (0, \frac{4}{9})

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 9, - \frac{1}{18}), Maximum (1, \frac{1}{2})

+1

Solution steps

Domain of

\frac{x + 4}{x ^{2} + 9} : - \infty < x < \infty

Range of

\frac{x + 4}{x ^{2} + 9} : - \frac{1}{18} \leq f (x) \leq \frac{1}{2}

Axis interception points of

\frac{x + 4}{x ^{2} + 9} :

X Intercepts

: (- 4, 0),

Y Intercepts

: (0, \frac{4}{9})

Asymptotes of

\frac{x + 4}{x ^{2} + 9} :

Horizontal

: y = 0

Extreme Points of

\frac{x + 4}{x ^{2} + 9} :

Minimum

(- 9, - \frac{1}{18}),

Maximum

(1, \frac{1}{2})

Popular Examples

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f (x) = x^{4} + 3 x^{3} + 5 x^{2} + 3 x + 4

g(x)=(x+7)/(x^2-4)

g (x) = \frac{x + 7}{x ^{2} - 4}

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y = \frac{x}{ln ( x - 2 )}

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

Frequently Asked Questions (FAQ)

What is the f(x)=(x+4)/(x^2+9) ?
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