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Popular >

f(x)=(sqrt(3-x^2))/x

Solution

f (x) = \frac{3 - x ^{2}}{x}

Solution

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

Range : - \infty < f (x) < \infty

X Intercepts : (3, 0), (- 3, 0)

Asymptotes : Vertical x = 0

Extreme Points : Maximum (- 3, 0), Minimum (3, 0)

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Interval Notation

Domain : [- 3, 0) \cup (0, 3]

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{3 - x ^{2}}{x} : - 3 \leq x < 0 or 0 < x \leq 3

Range of

\frac{3 - x ^{2}}{x} : - \infty < f (x) < \infty

Axis interception points of

\frac{3 - x ^{2}}{x} :

X Intercepts

: (3, 0), (- 3, 0)

Asymptotes of

\frac{3 - x ^{2}}{x} :

Vertical

: x = 0

Extreme Points of

\frac{3 - x ^{2}}{x} :

Maximum

(- 3, 0),

Minimum

(3, 0)

Popular Examples

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f (x) = ln (2 e^{x} + 1)

f (x) = (\frac{2}{3})^{0}

f(x)=((4x^2)/(3x))(12x^3)/(2x)

f (x) = (\frac{4 x ^{2}}{3 x})^{\circ} \frac{12 x ^{3}}{2 x}

f(x)=ln(cos(x/2))

f (x) = ln (cos (\frac{x}{2}))

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

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

Frequently Asked Questions (FAQ)

What is the f(x)=(sqrt(3-x^2))/x ?
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