What is the inverse of f(x)=3^{x+1}-9 ?

The inverse of f(x)=3^{x+1}-9 is (ln(x+9))/(ln(3))-1

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inverse of f(x)=3^{x+1}-9

inverse

f (x) = 3^{x + 1} - 9

\frac{ln ( x + 9 )}{ln ( 3 )} - 1

Solution steps

y = 3^{x + 1} - 9

Replace

x

with

y

x = 3^{y + 1} - 9

Solve for

y, x = 3^{y + 1} - 9

\frac{ln ( x + 9 )}{ln ( 3 )} - 1

\frac{13 x}{x + 13}

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

arcsin (\frac{3}{2})

f (x) = - tan (x + \frac{π}{3}) + 2

What is the inverse of f(x)=3^{x+1}-9 ?
The inverse of f(x)=3^{x+1}-9 is (ln(x+9))/(ln(3))-1