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Popular >

f(x)= 1/(x^2-3)

Solution

f (x) = \frac{1}{x ^{2} - 3}

Solution

Domain : x < - 3 or - 3 < x < 3 or x > 3

Range : f (x) \leq - \frac{1}{3} or f (x) > 0

Y Intercepts : (0, - \frac{1}{3})

Asymptotes : Vertical x = - 3, x = 3, Horizontal y = 0

Extreme Points : Maximum (0, - \frac{1}{3})

+1

Solution steps

Domain of

\frac{1}{x ^{2} - 3} : x < - 3 or - 3 < x < 3 or x > 3

Range of

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

Axis interception points of

\frac{1}{x ^{2} - 3} :

Y Intercepts

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

Asymptotes of

\frac{1}{x ^{2} - 3} :

Vertical

: x = - 3, x = 3,

Horizontal

: y = 0

Extreme Points of

\frac{1}{x ^{2} - 3} :

Maximum

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

Popular Examples

g(x)=log_{2}(x)

g (x) = lo g_{2} (x)

f(x)=(log_{10}(x))/x

f (x) = \frac{lo g _{10} ( x )}{x}

f (x) = ∣ x - 3 ∣ + 2

y = \frac{x}{x ^{2} - 4}

y = - \frac{1}{5} x - 3

Frequently Asked Questions (FAQ)

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