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Popular >

y= 1/(x^2-2)

Solution

y = \frac{1}{x ^{2} - 2}

Solution

Domain : x < - 2 or - 2 < x < 2 or x > 2

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

Y Intercepts : (0, - \frac{1}{2})

Asymptotes : Vertical x = - 2, x = 2, Horizontal y = 0

Extreme Points : Maximum (0, - \frac{1}{2})

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

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

Asymptotes of

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

Vertical

: x = - 2, x = 2,

Horizontal

: y = 0

Extreme Points of

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

Maximum

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

Popular Examples

y = \frac{1}{x ^{2} - 3}

f(x)=(sqrt(x^2+9)-3)/(x^2)

f (x) = \frac{x ^{2} + 9 - 3}{x ^{2}}

f (x) = 1 + e^{x - 1}

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

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

f(x)=(6x+4)/(2x-1)

f (x) = \frac{6 x + 4}{2 x - 1}

Frequently Asked Questions (FAQ)

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