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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

domain of f(x)=sqrt(4-x)domain

f (x) = 4 - x

intercepts of f(x)=(4x+20)/(-x^2-5x)intercepts

f (x) = \frac{4 x + 20}{- x ^{2} - 5 x}

f (x) = 3 x^{2}

asymptotes of y= 6/(3+2x)asymptotes

y = \frac{6}{3 + 2 x}

domain of g(x)=sqrt(x^2-6x-27)domain

g (x) = x^{2} - 6 x - 27

Frequently Asked Questions (FAQ)

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