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Popular >

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

Solution

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

Solution

Domain : x > 0

Range : f (x) \leq 1

X Intercepts : (\frac{1}{e}, 0)

Asymptotes : Vertical x = 0, Horizontal y = 0

Extreme Points : Maximum (1, 1)

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

\frac{ln ( x ) + 1}{x} : x > 0

Range of

\frac{ln ( x ) + 1}{x} : f (x) \leq 1

Axis interception points of

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

X Intercepts

: (\frac{1}{e}, 0)

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 0

Extreme Points of

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

Maximum

(1, 1)

Popular Examples

g(x)=-7x^7-x^3+5x

g (x) = - 7 x^{7} - x^{3} + 5 x

f(m)=(8m^2-18)/(m^4)

f (m) = \frac{8 m ^{2} - 18}{m ^{4}}

y=((1-x)^3)/((x-1)^2)

y = \frac{( 1 - x ) ^{3}}{( x - 1 ) ^{2}}

f (b) = b - 3

f(x)=4x^3-7x^2-4

f (x) = 4 x^{3} - 7 x^{2} - 4

Frequently Asked Questions (FAQ)

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