What is the inverse of f(x)=sqrt(2)(-1+e^t) ?

The inverse of f(x)=sqrt(2)(-1+e^t) is ln((sqrt(2)t)/2+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=sqrt(2)(-1+e^t)

inverse

f (x) = 2 (- 1 + e^{t})

ln (\frac{2 t}{2} + 1)

Solution steps

x = 2 (- 1 + e^{t})

Replace

t

with

x

t = 2 (- 1 + e^{x})

Solve for

x, t = 2 (- 1 + e^{x})

ln (\frac{2 t}{2} + 1)

f (x) = \frac{5 x + 2}{9 x - 4}

\frac{6 x}{36 - x ^{2}}

lo g_{10} (x + 5)

(\frac{1}{4})^{1 - x^{2}}

f (x) = 2 x - 5 = 2

What is the inverse of f(x)=sqrt(2)(-1+e^t) ?
The inverse of f(x)=sqrt(2)(-1+e^t) is ln((sqrt(2)t)/2+1)