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Popular >

f(x)=|ln(3x-1)|-1

Solution

f (x) = ∣ ln (3 x - 1) ∣ - 1

Solution

Domain : x > \frac{1}{3}

X Intercepts : (\frac{1 + e}{3 e}, 0), (\frac{e + 1}{3}, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{2}{3}, - 1)

+1

Interval Notation

Domain : (\frac{1}{3}, \infty)

Solution steps

Domain of

∣ ln (3 x - 1) ∣ - 1 : x > \frac{1}{3}

Axis interception points of

∣ ln (3 x - 1) ∣ - 1 :

X Intercepts

: (\frac{1 + e}{3 e}, 0), (\frac{e + 1}{3}, 0)

Asymptotes of

∣ ln (3 x - 1) ∣ - 1 :

None

Extreme Points of

∣ ln (3 x - 1) ∣ - 1 :

Minimum

(\frac{2}{3}, - 1)

Popular Examples

y=(2x+3)(5x^2-4x)

y = (2 x + 3) (5 x^{2} - 4 x)

f(x)=(x^4)(3x^3-2)(4x^2+5x)

f (x) = (x^{4}) (3 x^{3} - 2) (4 x^{2} + 5 x)

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

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

f(x)=(3-x)/(x-[|x|])

f (x) = \frac{3 - x}{x - [ ∣ x ∣ ]}

f(x)=((x^7+x^5-4x^3))/(x^6)

f (x) = \frac{( x ^{7} + x ^{5} - 4 x ^{3} )}{x ^{6}}

Frequently Asked Questions (FAQ)

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