What is the inverse of f(x)=5^{(x-3)}-11 ?

The inverse of f(x)=5^{(x-3)}-11 is (ln(x+11))/(ln(5))+3

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inverse of f(x)=5^{(x-3)}-11

inverse

f (x) = 5^{(x - 3)} - 11

\frac{ln ( x + 11 )}{ln ( 5 )} + 3

Solution steps

y = 5^{x - 3} - 11

Replace

x

with

y

x = 5^{y - 3} - 11

Solve for

y, x = 5^{y - 3} - 11

\frac{ln ( x + 11 )}{ln ( 5 )} + 3

f (x) = e^{- x} - 4

(- 3, - 1), (2, 0)

x + x + 8

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

y - 2 = 3 (x - 1)

What is the inverse of f(x)=5^{(x-3)}-11 ?
The inverse of f(x)=5^{(x-3)}-11 is (ln(x+11))/(ln(5))+3