What is the inverse of f(x)=2ln(((x+5))/3) ?

The inverse of f(x)=2ln(((x+5))/3) is e^{x/2}*3-5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=2ln(((x+5))/3)

inverse

f (x) = 2 ln (\frac{( x + 5 )}{3})

e^{\frac{x}{2}} \cdot 3 - 5

Solution steps

y = 2 ln (\frac{x + 5}{3})

Replace

x

with

y

x = 2 ln (\frac{y + 5}{3})

Solve for

y, x = 2 ln (\frac{y + 5}{3})

e^{\frac{x}{2}} \cdot 3 - 5

1 - 2 - 3 x

x^{2} - 6 x + 10

3 x - 3

\frac{1}{4} (x + 2)^{2} - 9

What is the inverse of f(x)=2ln(((x+5))/3) ?
The inverse of f(x)=2ln(((x+5))/3) is e^{x/2}*3-5