What is the f(x)=(sqrt(x+11)-sqrt(11))/x ?

The f(x)=(sqrt(x+11)-sqrt(11))/x is

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f(x)=(sqrt(x+11)-sqrt(11))/x

f (x) = \frac{x + 11 - 11}{x}

Domain : - 11 \leq x < 0 or x > 0

Range : 0 < f (x) < \frac{1}{2 11} or \frac{1}{2 11} < f (x) \leq \frac{1}{11}

Intercepts : None

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 11, \frac{1}{11})

Interval Notation

Solution steps

Domain of

\frac{x + 11 - 11}{x} : - 11 \leq x < 0 or x > 0

Range of

\frac{x + 11 - 11}{x} : 0 < f (x) < \frac{1}{2 11} or \frac{1}{2 11} < f (x) \leq \frac{1}{11}

Axis interception points of

\frac{x + 11 - 11}{x} :

None

Asymptotes of

\frac{x + 11 - 11}{x} :

Horizontal

: y = 0

Extreme Points of

\frac{x + 11 - 11}{x} :

Maximum

(- 11, \frac{1}{11})

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