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Popular >

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

Solution

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

Solution

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

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

X Intercepts : (\frac{3 + 41}{4}, 0), (\frac{3 - 41}{4}, 0)

Asymptotes : Vertical x = - \frac{1}{2}, x = 2

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

ln ((\frac{1}{2} + x) (- 2 + x)) : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

: (\frac{3 + 41}{4}, 0), (\frac{3 - 41}{4}, 0)

Asymptotes of

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

Vertical

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

Extreme Points of

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

None

Popular Examples

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

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

F(x)=(12000)/(1+499*1.09^{-0)}

F (x) = \frac{12000}{1 + 499 \cdot 1.0 9 ^{- 0}}

g(t)=(t^2-1)/(t+1)

g (t) = \frac{t ^{2} - 1}{t + 1}

y=(4x^2-1)(7x^3+x)

y = (4 x^{2} - 1) (7 x^{3} + x)

f (x) = - \frac{8}{x ^{3}}

Frequently Asked Questions (FAQ)

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