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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{6} \leq f (x) \leq \frac{1}{6}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 3, - \frac{1}{6}), Maximum (3, \frac{1}{6})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{6}, \frac{1}{6}]

Solution steps

Domain of

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

Range of

\frac{x}{x ^{2} + 9} : - \frac{1}{6} \leq f (x) \leq \frac{1}{6}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 3, - \frac{1}{6}),

Maximum

(3, \frac{1}{6})

Popular Examples

y^{''}-2y^'+2y=x+e^x

y^{^{''}} - 2 y^{^{'}} + 2 y = x + e^{x}

limit as x approaches 0 of-5^2

x \to 0 lim (- 5^{2})

derivative of xlog_{10}(x)

\frac{d}{d x} (x lo g_{10} (x))

integral of ysin(xy)

\int y sin (x y) d x

derivative of-4x^{10}

\frac{d}{d x} (- 4 x^{10})

Frequently Asked Questions (FAQ)

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