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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

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

X Intercepts : (2, 0), (- 2, 0)

Asymptotes : Vertical x = 0

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (2, 0), (- 2, 0)

Asymptotes of

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

Vertical

: x = 0

Extreme Points of

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

None

Popular Examples

integral of (tan^5(x))/(sec(x))

\int \frac{tan ^{5} ( x )}{sec ( x )} d x

derivative of (4x-1^3(5x+3)^2)

\frac{d}{d x} ((4 x - 1)^{3} (5 x + 3)^{2})

integral of 1/((1+cos^2(x)))

\int \frac{1}{( 1 + cos ^{2} ( x ) )} d x

integral of x\sqrt[3]{x-1}

taylor e^{x/2}taylor

e^{\frac{x}{2}}

Frequently Asked Questions (FAQ)

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