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Popular >

f(x)= 1/2 x^2-2x+6ln(x+5)

Solution

f (x) = \frac{1}{2} x^{2} - 2 x + 6 ln (x + 5)

Solution

Domain : x > - 5

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

Y Intercepts : (0, 6 ln (5))

Asymptotes : Vertical x = - 5

Extreme Points : Maximum (- 4, 16), Minimum (1, 6 ln (6) - \frac{3}{2})

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Interval Notation

Domain : (- 5, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{1}{2} x^{2} - 2 x + 6 ln (x + 5) : x > - 5

Range of

\frac{1}{2} x^{2} - 2 x + 6 ln (x + 5) : - \infty < f (x) < \infty

Axis interception points of

\frac{1}{2} x^{2} - 2 x + 6 ln (x + 5) :

Y Intercepts

: (0, 6 ln (5))

Asymptotes of

\frac{1}{2} x^{2} - 2 x + 6 ln (x + 5) :

Vertical

: x = - 5

Extreme Points of

\frac{1}{2} x^{2} - 2 x + 6 ln (x + 5) :

Maximum

(- 4, 16),

Minimum

(1, 6 ln (6) - \frac{3}{2})

Popular Examples

y = ln (ln (x^{5}))

f(x)=sqrt(5-4x-x^2)

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

f(x)=\sqrt[3]{x^2}+\sqrt[3]{x}

f (y) = \frac{y}{6}

periodicity of f(θ)=8cos(2θ)cos(4θ)periodicity

f (θ) = 8 cos (2 θ) cos (4 θ)

Frequently Asked Questions (FAQ)

What is the f(x)= 1/2 x^2-2x+6ln(x+5) ?
The f(x)= 1/2 x^2-2x+6ln(x+5) is