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Popular >

f(x)=(x+x^{-1})^3

Solution

f (x) = (x + x^{- 1})^{3}

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 8 or f (x) \geq 8

Intercepts : None

Asymptotes : Vertical x = 0

Extreme Points : Maximum (- 1, - 8), Minimum (1, 8)

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Interval Notation

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

Range : (- \infty, - 8] \cup [8, \infty)

Solution steps

Domain of

(x + x^{- 1})^{3} : x < 0 or x > 0

Range of

(x + x^{- 1})^{3} : f (x) \leq - 8 or f (x) \geq 8

Axis interception points of

(x + x^{- 1})^{3} :

None

Asymptotes of

(x + x^{- 1})^{3} :

Vertical

: x = 0

Extreme Points of

(x + x^{- 1})^{3} :

Maximum

(- 1, - 8),

Minimum

(1, 8)

Popular Examples

f(x)=x^3-5x^2+16x-30

f (x) = x^{3} - 5 x^{2} + 16 x - 30

f(x)=((x-1)sqrt(-2x+4))/(5x^2-5)

f (x) = \frac{( x - 1 ) - 2 x + 4}{5 x ^{2} - 5}

f(x)=(x^3-27)/(x-3)

f (x) = \frac{x ^{3} - 27}{x - 3}

f(x)=3(x+2)^2-1

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

f (x) = 3 - y^{2}

Frequently Asked Questions (FAQ)

What is the f(x)=(x+x^{-1})^3 ?
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