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Popular >

g(x)= x/(x^2+36)

Solution

g (x) = \frac{x}{x ^{2} + 36}

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{12} \leq f (x) \leq \frac{1}{12}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 6, - \frac{1}{12}), Maximum (6, \frac{1}{12})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{12}, \frac{1}{12}]

Solution steps

Domain of

\frac{x}{x ^{2} + 36} : - \infty < x < \infty

Range of

\frac{x}{x ^{2} + 36} : - \frac{1}{12} \leq f (x) \leq \frac{1}{12}

Axis interception points of

\frac{x}{x ^{2} + 36} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x}{x ^{2} + 36} :

Horizontal

: y = 0

Extreme Points of

\frac{x}{x ^{2} + 36} :

Minimum

(- 6, - \frac{1}{12}),

Maximum

(6, \frac{1}{12})

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f (x) = \frac{cos ( x ) - 1}{sin ( x )}

Frequently Asked Questions (FAQ)

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