en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 2

Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Minimum (0, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [2, \infty)

Solution steps

Domain of

e^{x} + \frac{1}{e ^{x}} : - \infty < x < \infty

Range of

e^{x} + \frac{1}{e ^{x}} : f (x) \geq 2

Axis interception points of

e^{x} + \frac{1}{e ^{x}} :

Y Intercepts

: (0, 2)

Asymptotes of

e^{x} + \frac{1}{e ^{x}} :

None

Extreme Points of

e^{x} + \frac{1}{e ^{x}} :

Minimum

(0, 2)

Popular Examples

f (y) = - 11 y^{5}

y=(-2x^3+6x^2+8x-24)/(x^3+11x^2+38x+40)

y = \frac{- 2 x ^{3} + 6 x ^{2} + 8 x - 24}{x ^{3} + 11 x ^{2} + 38 x + 40}

f(t)= 2/(1+3e^{-0.8t)}

f (t) = \frac{2}{1 + 3 e ^{- 0.8 t}}

f (x) = x^{3} - 15 x^{2}

f(x)=-2x^2+16x-33

f (x) = - 2 x^{2} + 16 x - 33

Frequently Asked Questions (FAQ)

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