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Popular Functions >

f(x)=(x^2-12x+20)/(3x)

Solution

f (x) = \frac{x ^{2} - 12 x + 20}{3 x}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - \frac{4 5}{3} - 4 or f (x) \geq \frac{4 5}{3} - 4

X Intercepts : (10, 0), (2, 0)

Asymptotes : Vertical x = 0, Slant y = \frac{1}{3} x - 4

Extreme Points : Maximum (- 25, - \frac{4 ( 5 + 3 5 )}{3 5}), Minimum (25, \frac{4 ( 5 - 3 5 )}{3 5})

+1

Interval Notation

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

Range : (- \infty, - \frac{4 5}{3} - 4] \cup [\frac{4 5}{3} - 4, \infty)

Solution steps

Domain of

\frac{x ^{2} - 12 x + 20}{3 x} : x < 0 or x > 0

Range of

\frac{x ^{2} - 12 x + 20}{3 x} : f (x) \leq - \frac{4 5}{3} - 4 or f (x) \geq \frac{4 5}{3} - 4

Axis interception points of

\frac{x ^{2} - 12 x + 20}{3 x} :

X Intercepts

: (10, 0), (2, 0)

Asymptotes of

\frac{x ^{2} - 12 x + 20}{3 x} :

Vertical

: x = 0,

Slant

: y = \frac{1}{3} x - 4

Extreme Points of

\frac{x ^{2} - 12 x + 20}{3 x} :

Maximum

(- 25, - \frac{4 ( 5 + 3 5 )}{3 5}),

Minimum

(25, \frac{4 ( 5 - 3 5 )}{3 5})

Graph

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Frequently Asked Questions (FAQ)

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