What is the inverse of f(x)=3^{x+1}-5 ?

The inverse of f(x)=3^{x+1}-5 is (ln(x+5))/(ln(3))-1

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inverse of f(x)=3^{x+1}-5

inverse

f (x) = 3^{x + 1} - 5

\frac{ln ( x + 5 )}{ln ( 3 )} - 1

Solution steps

y = 3^{x + 1} - 5

Replace

x

with

y

x = 3^{y + 1} - 5

Solve for

y, x = 3^{y + 1} - 5

\frac{ln ( x + 5 )}{ln ( 3 )} - 1

f (x) = (x - 5)^{2}, [5, \infty]

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

f (x) = 9 (- 8 x + 8)^{2} + 10

y = 2.5 x + 5.5

f (x) = f (x) = x - 2

What is the inverse of f(x)=3^{x+1}-5 ?
The inverse of f(x)=3^{x+1}-5 is (ln(x+5))/(ln(3))-1