What is the y=(1/(x^2)+6)(x^2-1/(x^2)+6) ?

The y=(1/(x^2)+6)(x^2-1/(x^2)+6) is

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y=(1/(x^2)+6)(x^2-1/(x^2)+6)

y = (\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6)

Domain : x < 0 or x > 0

Range : - \infty < f (x) < \infty

X Intercepts : (- 3 + 10, 0), (- - 3 + 10, 0)

Asymptotes : Vertical x = 0

Extreme Points : None

Solution steps

Domain of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) : x < 0 or x > 0

Range of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) : - \infty < f (x) < \infty

Axis interception points of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) :

X Intercepts

: (- 3 + 10, 0), (- - 3 + 10, 0)

Asymptotes of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) :

Vertical

: x = 0

Extreme Points of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) :

None

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

f (x) = \frac{x ^{2} + 1}{x ^{2} - 16}

f (x) = (x - 1) (x + 2)^{2}

f (x) = \frac{cot ( x )}{ln ( 10 )}