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Popular Functions >

f(x)=ln(24-3x^2+6x)

Solution

f (x) = ln (24 - 3 x^{2} + 6 x)

Solution

Domain : - 2 < x < 4

Range : f (x) \leq 3 ln (3)

X Intercepts : (- \frac{- 3 + 78}{3}, 0), (\frac{3 + 78}{3}, 0), Y Intercepts : (0, ln (24))

Asymptotes : Vertical x = - 2, x = 4

Extreme Points : Maximum (1, 3 ln (3))

+1

Interval Notation

Domain : (- 2, 4)

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

Solution steps

Domain of

ln (24 - 3 x^{2} + 6 x) : - 2 < x < 4

Range of

ln (24 - 3 x^{2} + 6 x) : f (x) \leq 3 ln (3)

Axis interception points of

ln (24 - 3 x^{2} + 6 x) :

X Intercepts

: (- \frac{- 3 + 78}{3}, 0), (\frac{3 + 78}{3}, 0),

Y Intercepts

: (0, ln (24))

Asymptotes of

ln (24 - 3 x^{2} + 6 x) :

Vertical

: x = - 2, x = 4

Extreme Points of

ln (24 - 3 x^{2} + 6 x) :

Maximum

(1, 3 ln (3))

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the f(x)=ln(24-3x^2+6x) ?
The f(x)=ln(24-3x^2+6x) is