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Popular >

y=x^2+5/(x^2)-81

Solution

y = x^{2} + \frac{5}{x ^{2}} - 81

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq 25 - 81

X Intercepts : \frac{81 + 6541}{2}, 0, - \frac{81 + 6541}{2}, 0, \frac{81 - 6541}{2}, 0, - \frac{81 - 6541}{2}, 0

Asymptotes : Vertical x = 0

+1

Interval Notation

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

Range : [25 - 81, \infty)

Solution steps

Domain of

x^{2} + \frac{5}{x ^{2}} - 81 : x < 0 or x > 0

Range of

x^{2} + \frac{5}{x ^{2}} - 81 : f (x) \geq 25 - 81

Axis interception points of

x^{2} + \frac{5}{x ^{2}} - 81 :

X Intercepts

: \frac{81 + 6541}{2}, 0, - \frac{81 + 6541}{2}, 0, \frac{81 - 6541}{2}, 0, - \frac{81 - 6541}{2}, 0

Asymptotes of

x^{2} + \frac{5}{x ^{2}} - 81 :

Vertical

: x = 0

Extreme Points of

x^{2} + \frac{5}{x ^{2}} - 81 :

Minimum

Minimum

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Frequently Asked Questions (FAQ)

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