en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=(x+1/x)^{-1}

Solution

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

Solution

Domain : x < 0 or x > 0

Range : - \frac{1}{2} \leq f (x) < 0 or 0 < f (x) \leq \frac{1}{2}

Intercepts : None

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - \frac{1}{2}), Maximum (1, \frac{1}{2})

+1

Interval Notation

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

Range : [- \frac{1}{2}, 0) \cup (0, \frac{1}{2}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

None

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- 1, - \frac{1}{2}),

Maximum

(1, \frac{1}{2})

Popular Examples

f (x) = ∣ x + 3 ∣ + 1

f (x) = 2^{- x} - 4

f (x) = 2^{- x} - 5

f (x) = 2 sin (x + 3)

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

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

Frequently Asked Questions (FAQ)

What is the y=(x+1/x)^{-1} ?
The y=(x+1/x)^{-1} is