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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - \frac{2}{3} or f (x) \geq \frac{2}{3}

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = \frac{1}{3} x

Extreme Points : Maximum (- 3, - \frac{2}{3}), Minimum (3, \frac{2}{3})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, - \frac{2}{3}] \cup [\frac{2}{3}, \infty)

Solution steps

Domain of

\frac{x ^{2} + 3}{3 x} : x < 0 or x > 0

Range of

\frac{x ^{2} + 3}{3 x} : f (x) \leq - \frac{2}{3} or f (x) \geq \frac{2}{3}

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = \frac{1}{3} x

Extreme Points of

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

Maximum

(- 3, - \frac{2}{3}),

Minimum

(3, \frac{2}{3})

Graph

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Frequently Asked Questions (FAQ)

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