What is the inverse of f(x)=4ln(2x-5)+7 ?

The inverse of f(x)=4ln(2x-5)+7 is (e^{(x-7)/4}+5)/(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=4ln(2x-5)+7

inverse

f (x) = 4 ln (2 x - 5) + 7

\frac{e ^{\frac{x - 7}{4}} + 5}{2}

Solution steps

y = 4 ln (2 x - 5) + 7

Replace

x

with

y

x = 4 ln (2 y - 5) + 7

Solve for

y, x = 4 ln (2 y - 5) + 7

\frac{e ^{\frac{x - 7}{4}} + 5}{2}

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

f (x) = - (x + 5)^{2} + 33

f (x) = \frac{7 x}{( 3 x - 1 )}

\frac{t ^{2} + 1}{t - 1}

\frac{1}{3 x + 4}

What is the inverse of f(x)=4ln(2x-5)+7 ?
The inverse of f(x)=4ln(2x-5)+7 is (e^{(x-7)/4}+5)/(2)