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Popular >

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

Solution

g (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

f (x) = e^{x - 2} - 1

y=\sqrt[5]{(x^3+x-2)}

y=sqrt((a^2+x^2)/(a^2-x^2))

y = \frac{a ^{2} + x ^{2}}{a ^{2} - x ^{2}}

f(x)= 1/3 x^3-1/2 x^2-2x

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

f(x)=(12)/(x^2-25)

f (x) = \frac{12}{x ^{2} - 25}

Frequently Asked Questions (FAQ)

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