What is the inverse of f(x)=(4*3^x)/(6+3^x) ?

The inverse of f(x)=(4*3^x)/(6+3^x) is (ln(-\frac{6x)/(x-4))}{ln(3)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(4*3^x)/(6+3^x)

inverse

f (x) = \frac{4 \cdot 3 ^{x}}{6 + 3 ^{x}}

\frac{ln ( - \frac{6 x}{x - 4} )}{ln ( 3 )}

Solution steps

y = \frac{4 \cdot 3 ^{x}}{6 + 3 ^{x}}

Replace

x

with

y

x = \frac{4 \cdot 3 ^{y}}{6 + 3 ^{y}}

Solve for

y, x = \frac{4 \cdot 3 ^{y}}{6 + 3 ^{y}}

\frac{ln ( - \frac{6 x}{x - 4} )}{ln ( 3 )}

f (x) = 3 x^{\frac{3}{2}}

y = 3 x^{2} + 12 x - 7

f (x) = (x - 7)^{2}, x \geq 7

\frac{1}{5} x - 3

f (x) = \frac{3 x + 1}{2 - x}

What is the inverse of f(x)=(4*3^x)/(6+3^x) ?
The inverse of f(x)=(4*3^x)/(6+3^x) is (ln(-\frac{6x)/(x-4))}{ln(3)}