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

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

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

Domain : x \leq - 1 or x > 0

Range : 0 \leq f (x) < 1 or f (x) > 1

X Intercepts : (- 1, 0)

Asymptotes : Vertical x = 0, Horizontal y = 1

Extreme Points : None

Interval Notation

Domain : (- \infty, - 1] \cup (0, \infty)

Range : [0, 1) \cup (1, \infty)

Solution steps

Domain of

\frac{x + 1}{x} : x \leq - 1 or x > 0

Range of

\frac{x + 1}{x} : 0 \leq f (x) < 1 or f (x) > 1

Axis interception points of

\frac{x + 1}{x} :

X Intercepts

: (- 1, 0)

Asymptotes of

\frac{x + 1}{x} :

Vertical

: x = 0,

Horizontal

: y = 1

Extreme Points of

\frac{x + 1}{x} :

None

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