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Popular >

f(x)= 1/(3x^3-9x+2)

Solution

f (x) = \frac{1}{3 x ^{3} - 9 x + 2}

Solution

Domain : x < - 1.83398 \dots or - 1.83398 \dots < x < 0.22607 \dots or 0.22607 \dots < x < 1.60791 \dots or x > 1.60791 \dots

Range : f (x) < 0 or f (x) > 0

Y Intercepts : (0, \frac{1}{2})

Asymptotes : Vertical x = - 1.83398 \dots, x = 0.22607 \dots, x = 1.60791 \dots, Horizontal y = 0

Extreme Points : Minimum (- 1, \frac{1}{8}), Maximum (1, - \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, - 1.83398 \dots) \cup (- 1.83398 \dots, 0.22607 \dots) \cup (0.22607 \dots, 1.60791 \dots) \cup (1.60791 \dots, \infty)

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

Solution steps

Domain of

\frac{1}{3 x ^{3} - 9 x + 2} : x < - 1.83398 \dots or - 1.83398 \dots < x < 0.22607 \dots or 0.22607 \dots < x < 1.60791 \dots or x > 1.60791 \dots

Range of

\frac{1}{3 x ^{3} - 9 x + 2} : f (x) < 0 or f (x) > 0

Axis interception points of

\frac{1}{3 x ^{3} - 9 x + 2} :

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

\frac{1}{3 x ^{3} - 9 x + 2} :

Vertical

: x = - 1.83398 \dots, x = 0.22607 \dots, x = 1.60791 \dots,

Horizontal

: y = 0

Extreme Points of

\frac{1}{3 x ^{3} - 9 x + 2} :

Minimum

(- 1, \frac{1}{8}),

Maximum

(1, - \frac{1}{4})

Popular Examples

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f(x_{-1})=x_{-1}

f (x_{- 1}) = x_{- 1}

f (x) = x (x + 2)^{2}

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

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(3x^3-9x+2) ?
The f(x)= 1/(3x^3-9x+2) is