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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 2 or f (x) \geq 2

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = x

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

+1

Interval Notation

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

Range : (- \infty, - 2] \cup [2, \infty)

Solution steps

Domain of

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

Range of

x + \frac{1}{x} : f (x) \leq - 2 or f (x) \geq 2

Axis interception points of

x + \frac{1}{x} :

None

Asymptotes of

x + \frac{1}{x} :

Vertical

: x = 0,

Slant

: y = x

Extreme Points of

x + \frac{1}{x} :

Maximum

(- 1, - 2),

Minimum

(1, 2)

Popular Examples

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

y = 5 x + 23

solvefor r,r=cos(5θ)solve for

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f(x)=log_{3}(-x+2)-3

f (x) = lo g_{3} (- x + 2) - 3

Frequently Asked Questions (FAQ)

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