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Popular Calculus >

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

Solution

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

Solution

Domain : x \geq 1

Range : f (x) \geq 0

X Intercepts : (1, 0)

Asymptotes : None

Extreme Points : Minimum (1, 0)

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Interval Notation

Domain : [1, \infty)

Range : [0, \infty)

Solution steps

Domain of

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

Range of

ln (x + x^{2} - 1) : f (x) \geq 0

Axis interception points of

ln (x + x^{2} - 1) :

X Intercepts

: (1, 0)

Asymptotes of

ln (x + x^{2} - 1) :

None

Extreme Points of

ln (x + x^{2} - 1) :

Minimum

(1, 0)

Graph

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Frequently Asked Questions (FAQ)

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