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

h (x) = 8 x - 12

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

x + 4

f (x) = \frac{2 x}{3} + \frac{1}{5}

2^{x - 1}

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