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

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

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

inverse

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

\frac{ln ( x - 4 )}{ln ( 3 )} - 1

Solution steps

y = 3^{x + 1} + 4

Replace

x

with

y

x = 3^{y + 1} + 4

Solve for

y, x = 3^{y + 1} + 4

\frac{ln ( x - 4 )}{ln ( 3 )} - 1

x^{2} - 4 x + 5

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

f (x) = e^{x} - 7

f (x) = (x^{2} - 4)^{\frac{5}{3}}

f (x) = \frac{2}{x - 1} + 6

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