What is the inverse of f(x)=3^{x+2}-1 ?

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

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inverse of f(x)=3^{x+2}-1

inverse

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

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

Solution steps

y = 3^{x + 2} - 1

Replace

x

with

y

x = 3^{y + 2} - 1

Solve for

y, x = 3^{y + 2} - 1

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

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

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

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

f (x) = \frac{5 x - 3}{1 - 4 x}

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

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