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Popular >

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

Solution

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

Solution

Domain : x > - 1

Range : f (x) \leq \frac{2 e ^{3} + 1}{e ^{3}}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 1, Horizontal y = 2

Extreme Points : Maximum (e^{3} - 1, \frac{2 e ^{3} + 1}{e ^{3}})

+1

Interval Notation

Domain : (- 1, \infty)

Range : (- \infty, \frac{2 e ^{3} + 1}{e ^{3}}]

Solution steps

Domain of

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

Range of

\frac{2 x + ln ( x + 1 )}{x + 1} : f (x) \leq \frac{2 e ^{3} + 1}{e ^{3}}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 1,

Horizontal

: y = 2

Extreme Points of

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

Maximum

(e^{3} - 1, \frac{2 e ^{3} + 1}{e ^{3}})

Popular Examples

f (x) = 3 x^{2} - 9 x + 1

f(x)=(3x)/(x^2+4)

f (x) = \frac{3 x}{x ^{2} + 4}

f(k)=k^2+14k+49

f (k) = k^{2} + 14 k + 49

f(x)=3x^2+6x-72

f (x) = 3 x^{2} + 6 x - 72

f(x)=sqrt(1+(x^2)/(1-x^2))

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

Frequently Asked Questions (FAQ)

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