What is the f(x)=(x^{1/2}+1)/(x^{1/2)} ?

The f(x)=(x^{1/2}+1)/(x^{1/2)} is

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f(x)=(x^{1/2}+1)/(x^{1/2)}

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

Domain : x > 0

Range : f (x) > 1

Intercepts : None

Asymptotes : Vertical x = 0, Horizontal y = 1

Extreme Points : None

Interval Notation

Domain : (0, \infty)

Range : (1, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{\frac{1}{2}} + 1}{x ^{\frac{1}{2}}} : f (x) > 1

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Horizontal

: y = 1

Extreme Points of

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

None

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