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Popular >

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

Solution

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

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

Minimum

(- 1, 2),

Minimum

(1, 2)

Popular Examples

W (1, x, 2 x) = 0

f(x)=ln(x^4+3x^2+1)

f (x) = ln (x^{4} + 3 x^{2} + 1)

y=ccos(t)+t^2sin(t)

y = c cos (t) + t^{2} sin (t)

y = x^{2} + 10 x - 11

y=(3x^2+17x+10)/(6x^2-11x+4)

y = \frac{3 x ^{2} + 17 x + 10}{6 x ^{2} - 11 x + 4}

Frequently Asked Questions (FAQ)

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