What is the inverse of f(x)= 3/(6+4^{x+1)} ?

The inverse of f(x)= 3/(6+4^{x+1)} is (ln(3/x-6))/(2ln(2))-1

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inverse of f(x)= 3/(6+4^{x+1)}

inverse

f (x) = \frac{3}{6 + 4 ^{x + 1}}

\frac{ln ( \frac{3}{x} - 6 )}{2 ln ( 2 )} - 1

Solution steps

y = \frac{3}{6 + 4 ^{x + 1}}

Replace

x

with

y

x = \frac{3}{6 + 4 ^{y + 1}}

Solve for

y, x = \frac{3}{6 + 4 ^{y + 1}}

\frac{ln ( \frac{3}{x} - 6 )}{2 ln ( 2 )} - 1

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

ln (2 x - 3)

f (x) = 3 - e^{- 2 x}

f (x) = \frac{7 x}{5 x - 2}

f (x) = \frac{4}{x} - 3

What is the inverse of f(x)= 3/(6+4^{x+1)} ?
The inverse of f(x)= 3/(6+4^{x+1)} is (ln(3/x-6))/(2ln(2))-1