What is the inverse of f(x)=(2e^{5x}-6)/(5e^{5x)+2} ?

The inverse of f(x)=(2e^{5x}-6)/(5e^{5x)+2} is (ln((-6-2x)/(5x-2)))/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(2e^{5x}-6)/(5e^{5x)+2}

inverse

f (x) = \frac{2 e ^{5 x} - 6}{5 e ^{5 x} + 2}

\frac{ln ( \frac{- 6 - 2 x}{5 x - 2} )}{5}

Solution steps

y = \frac{2 e ^{5 x} - 6}{5 e ^{5 x} + 2}

Replace

x

with

y

x = \frac{2 e ^{5 y} - 6}{5 e ^{5 y} + 2}

Solve for

y, x = \frac{2 e ^{5 y} - 6}{5 e ^{5 y} + 2}

\frac{ln ( \frac{- 6 - 2 x}{5 x - 2} )}{5}

f (x) = \frac{5}{x ^{4}}

y = 9 x + 6

f (x) = ln (72 9^{x})

y = \frac{7 x + 1}{5 - x}

\frac{1}{2} 3^{- x}

What is the inverse of f(x)=(2e^{5x}-6)/(5e^{5x)+2} ?
The inverse of f(x)=(2e^{5x}-6)/(5e^{5x)+2} is (ln((-6-2x)/(5x-2)))/5