What is the inverse of f(x)=2^{x+1}+4 ?

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

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inverse of f(x)=2^{x+1}+4

inverse

f (x) = 2^{x + 1} + 4

\frac{ln ( x - 4 )}{ln ( 2 )} - 1

Solution steps

y = 2^{x + 1} + 4

Replace

x

with

y

x = 2^{y + 1} + 4

Solve for

y, x = 2^{y + 1} + 4

\frac{ln ( x - 4 )}{ln ( 2 )} - 1

g (x) = \frac{( x - 1 ) ^{3}}{2} - 3

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

6 x - 7

x^{2} - 16

ln (2 - x)

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