What is the inverse of f(x)=((1+9x))/(4-4x) ?

The inverse of f(x)=((1+9x))/(4-4x) is -(1-4x)/(9+4x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=((1+9x))/(4-4x)

inverse

f (x) = \frac{( 1 + 9 x )}{4 - 4 x}

- \frac{1 - 4 x}{9 + 4 x}

Solution steps

y = \frac{1 + 9 x}{4 - 4 x}

Replace

x

with

y

x = \frac{1 + 9 y}{4 - 4 y}

Solve for

y, x = \frac{1 + 9 y}{4 - 4 y}

- \frac{1 - 4 x}{9 + 4 x}

f (x) = \frac{1}{( x + 1 ) ^{2}}

f (x) = \frac{4 ^{x}}{1 + 4 ^{x}}

f (x) = x^{3} - x^{2} - x + 9

(1, 5), (7, 13)

What is the inverse of f(x)=((1+9x))/(4-4x) ?
The inverse of f(x)=((1+9x))/(4-4x) is -(1-4x)/(9+4x)