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Popular >

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

Solution

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

Solution

Domain : - 2 \leq x < 0 or x > 0

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

Intercepts : None

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 2, \frac{1}{2})

+1

Interval Notation

Domain : [- 2, 0) \cup (0, \infty)

Range : (0, \frac{1}{2 2}) \cup (\frac{1}{2 2}, \frac{1}{2}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 2, \frac{1}{2})

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Frequently Asked Questions (FAQ)

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