What is the inverse of f(x)= 5/4 ln(4x-1/3)+3/4 ?

The inverse of f(x)= 5/4 ln(4x-1/3)+3/4 is (3e^{(4x-3)/5}+1)/(12)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)= 5/4 ln(4x-1/3)+3/4

inverse

f (x) = \frac{5}{4} ln (4 x - \frac{1}{3}) + \frac{3}{4}

\frac{3 e ^{\frac{4 x - 3}{5}} + 1}{12}

Solution steps

y = \frac{5}{4} ln (4 x - \frac{1}{3}) + \frac{3}{4}

Replace

x

with

y

x = \frac{5}{4} ln (4 y - \frac{1}{3}) + \frac{3}{4}

Solve for

y, x = \frac{5}{4} ln (4 y - \frac{1}{3}) + \frac{3}{4}

\frac{3 e ^{\frac{4 x - 3}{5}} + 1}{12}

5 x^{2} + 2

x = 100 (4 - 4 y)

3 x + \frac{5}{4}

f (x) = 4 4 x - 3 - 1

f (x) = - 3 x^{3}

What is the inverse of f(x)= 5/4 ln(4x-1/3)+3/4 ?
The inverse of f(x)= 5/4 ln(4x-1/3)+3/4 is (3e^{(4x-3)/5}+1)/(12)