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Popular >

f(x)=x^2+1/(x^2)

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq 2

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Minimum (- 1, 2), Minimum (1, 2)

+1

Interval Notation

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

Range : [2, \infty)

Solution steps

Domain of

x^{2} + \frac{1}{x ^{2}} : x < 0 or x > 0

Range of

x^{2} + \frac{1}{x ^{2}} : f (x) \geq 2

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

Minimum

(- 1, 2),

Minimum

(1, 2)

Popular Examples

f (x) = - 3 x + 3

f (x) = x^{2} + 4 x + 9

f (y) = sin (y)

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

y = 3 x - 10

Frequently Asked Questions (FAQ)

What is the f(x)=x^2+1/(x^2) ?
The f(x)=x^2+1/(x^2) is