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Popular >

f(x)=ln(x^3-2x+1)

Solution

f (x) = ln (x^{3} - 2 x + 1)

Solution

Domain : \frac{- 1 - 5}{2} < x < \frac{5 - 1}{2} or x > 1

X Intercepts : (0, 0), (- 2, 0), (2, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = 1

Extreme Points : Maximum (- \frac{2}{3}, ln (- (\frac{2}{3})^{\frac{3}{2}} + 2 \frac{2}{3} + 1))

+1

Interval Notation

Domain : (\frac{- 1 - 5}{2}, \frac{5 - 1}{2}) \cup (1, \infty)

Solution steps

Domain of

ln (x^{3} - 2 x + 1) : \frac{- 1 - 5}{2} < x < \frac{5 - 1}{2} or x > 1

Axis interception points of

ln (x^{3} - 2 x + 1) :

X Intercepts

: (0, 0), (- 2, 0), (2, 0),

Y Intercepts

: (0, 0)

Asymptotes of

ln (x^{3} - 2 x + 1) :

Vertical

: x = 1

Extreme Points of

ln (x^{3} - 2 x + 1) :

Maximum

(- \frac{2}{3}, ln (- (\frac{2}{3})^{\frac{3}{2}} + 2 \frac{2}{3} + 1))

Popular Examples

g (x) = \frac{1}{4} x^{2}

f(x)=(12x^2-10x+2)/x

f (x) = \frac{12 x ^{2} - 10 x + 2}{x}

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

y = 25 - 5 x

f(x)= 4/((x-5)^2)

f (x) = \frac{4}{( x - 5 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the f(x)=ln(x^3-2x+1) ?
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