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Popular >

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

Solution

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

Solution

Domain : x < - 2 or x > \frac{1}{3}

Range : f (x) < ln (3) or f (x) > ln (3)

X Intercepts : (\frac{3}{2}, 0)

Asymptotes : Vertical x = - 2, x = \frac{1}{3}, Horizontal y = ln (3)

Extreme Points : None

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Interval Notation

Domain : (- \infty, - 2) \cup (\frac{1}{3}, \infty)

Range : (- \infty, ln (3)) \cup (ln (3), \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{3}{2}, 0)

Asymptotes of

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

Vertical

: x = - 2, x = \frac{1}{3},

Horizontal

: y = ln (3)

Extreme Points of

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

None

Popular Examples

f(x)=(x+1)/(2x)

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

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f (x) = x^{3} - 3 x^{2} + 5 x - 15

p(x)=-2x^3+3x+4

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

f (x) = ln^{4} (x)

Frequently Asked Questions (FAQ)

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