What is the inverse of f(x)=(3^x+5)/9 ?

The inverse of f(x)=(3^x+5)/9 is (ln(x*9-5))/(ln(3))

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inverse of f(x)=(3^x+5)/9

inverse

f (x) = \frac{3 ^{x} + 5}{9}

\frac{ln ( x \cdot 9 - 5 )}{ln ( 3 )}

Solution steps

y = \frac{3 ^{x} + 5}{9}

Replace

x

with

y

x = \frac{3 ^{y} + 5}{9}

Solve for

y, x = \frac{3 ^{y} + 5}{9}

\frac{ln ( x \cdot 9 - 5 )}{ln ( 3 )}

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

\frac{x ^{2} - 7}{x - 4}

f (x) = 5 x^{2} - 3

y = 4 x - x^{2}

y = sin (e^{- x})

What is the inverse of f(x)=(3^x+5)/9 ?
The inverse of f(x)=(3^x+5)/9 is (ln(x*9-5))/(ln(3))