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Popular >

f(x)=(sqrt(3+x)-sqrt(3))/x

Solution

f (x) = \frac{3 + x - 3}{x}

Solution

Domain : - 3 \leq x < 0 or x > 0

Range : 0 < f (x) < \frac{1}{2 3} or \frac{1}{2 3} < f (x) \leq \frac{1}{3}

Intercepts : None

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 3, \frac{1}{3})

+1

Interval Notation

Solution steps

Domain of

\frac{3 + x - 3}{x} : - 3 \leq x < 0 or x > 0

Range of

\frac{3 + x - 3}{x} : 0 < f (x) < \frac{1}{2 3} or \frac{1}{2 3} < f (x) \leq \frac{1}{3}

Axis interception points of

\frac{3 + x - 3}{x} :

None

Asymptotes of

\frac{3 + x - 3}{x} :

Horizontal

: y = 0

Extreme Points of

\frac{3 + x - 3}{x} :

Maximum

(- 3, \frac{1}{3})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(sqrt(3+x)-sqrt(3))/x ?
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