en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

f(log_{2}(x))=e^x+2e^{-x}

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 22

Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Minimum (\frac{ln ( 2 )}{2}, e^{\frac{l n ( 2 )}{2}} + \frac{2}{e ^{\frac{l n ( 2 )}{2}}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [22, \infty)

Solution steps

Domain of

e^{x} + 2 e^{- x} : - \infty < x < \infty

Range of

e^{x} + 2 e^{- x} : f (x) \geq 22

Axis interception points of

e^{x} + 2 e^{- x} :

Y Intercepts

: (0, 3)

Asymptotes of

e^{x} + 2 e^{- x} :

None

Extreme Points of

e^{x} + 2 e^{- x} :

Minimum

(\frac{ln ( 2 )}{2}, e^{\frac{l n ( 2 )}{2}} + \frac{2}{e ^{\frac{l n ( 2 )}{2}}})

Graph

Popular Examples

f(x)=x^5+5x+3x^2+5x^3+3

f(-6)= 1/(3x^2)

f(x)=(x^3+2x^2+3)(x^4-1)

f(x)=4x^2+8x-16

Frequently Asked Questions (FAQ)

What is the f(log_{2}(x))=e^x+2e^{-x} ?
The f(log_{2}(x))=e^x+2e^{-x} is