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

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

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

Domain : x < 0 or x > 0

Range : - 1 < f (x) < 0 or 0 < f (x) < 1

Intercepts : None

Asymptotes : Horizontal y = 1, y = - 1

Extreme Points : None

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- 1, 0) \cup (0, 1)

Solution steps

Domain of

\frac{x ^{2} + 1 - 1}{x} : x < 0 or x > 0

Range of

\frac{x ^{2} + 1 - 1}{x} : - 1 < f (x) < 0 or 0 < f (x) < 1

Axis interception points of

\frac{x ^{2} + 1 - 1}{x} :

None

Asymptotes of

\frac{x ^{2} + 1 - 1}{x} :

Horizontal

: y = 1, y = - 1

Extreme Points of

\frac{x ^{2} + 1 - 1}{x} :

None

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