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Popular Calculus >

f(x)=ln(x+3)

Solution

f (x) = ln (x + 3)

Solution

Domain : x > - 3

Range : - \infty < f (x) < \infty

X Intercepts : (- 2, 0), Y Intercepts : (0, ln (3))

Asymptotes : Vertical x = - 3

Extreme Points : None

+1

Interval Notation

Domain : (- 3, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

ln (x + 3) : x > - 3

Range of

ln (x + 3) : - \infty < f (x) < \infty

Axis interception points of

ln (x + 3) :

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, ln (3))

Asymptotes of

ln (x + 3) :

Vertical

: x = - 3

Extreme Points of

ln (x + 3) :

None

Graph

Popular Examples

(\partial)/(\partial x)(x^2(1+y)^3)

\frac{\partial}{\partial x} (x^{2} (1 + y)^{3})

d/(dy)((e^y+e^{-y})/2)

\frac{d}{d y} (\frac{e ^{y} + e ^{- y}}{2})

derivative of 1/3 sin^3(x-sin(x)+1)

\frac{d}{d x} (\frac{1}{3} sin^{3} (x) - sin (x) + 1)

limit as x approaches 4 of (x+4)/(x+7)

x \to 4 lim (\frac{x + 4}{x + 7})

derivative of 3x^{5x}

\frac{d}{d x} (3 x^{5 x})

Frequently Asked Questions (FAQ)

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