What is the inverse of ln((3+2x^2)/(x^2+1)) ?

The inverse of ln((3+2x^2)/(x^2+1)) is sqrt((3-e^x)/(e^x-2)),-sqrt((3-e^x)/(e^x-2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of ln((3+2x^2)/(x^2+1))

inverse

ln (\frac{3 + 2 x ^{2}}{x ^{2} + 1})

\frac{3 - e ^{x}}{e ^{x} - 2}, - \frac{3 - e ^{x}}{e ^{x} - 2}

Solution steps

y = ln (\frac{3 + 2 x ^{2}}{x ^{2} + 1})

Replace

x

with

y

x = ln (\frac{3 + 2 y ^{2}}{y ^{2} + 1})

Solve for

y, x = ln (\frac{3 + 2 y ^{2}}{y ^{2} + 1})

\frac{3 - e ^{x}}{e ^{x} - 2}, - \frac{3 - e ^{x}}{e ^{x} - 2}

f (x) = - 3 + \frac{x - 4}{2}

f (x) = \frac{- 2 x + 1}{x + 5}

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

f (x) = - 3.5

What is the inverse of ln((3+2x^2)/(x^2+1)) ?
The inverse of ln((3+2x^2)/(x^2+1)) is sqrt((3-e^x)/(e^x-2)),-sqrt((3-e^x)/(e^x-2))