What is the inverse of f(x)=-4^{-x-3}+5 ?

The inverse of f(x)=-4^{-x-3}+5 is -(ln(64(5-x)))/(2ln(2))

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inverse of f(x)=-4^{-x-3}+5

inverse

f (x) = - 4^{- x - 3} + 5

- \frac{ln ( 64 ( 5 - x ) )}{2 ln ( 2 )}

Solution steps

y = - 4^{- x - 3} + 5

Replace

x

with

y

x = - 4^{- y - 3} + 5

Solve for

y, x = - 4^{- y - 3} + 5

- \frac{ln ( 64 ( 5 - x ) )}{2 ln ( 2 )}

in t erce pt s f (x) = - 8

a sy m pt o t es \frac{4}{x} + 3

d o main x^{2} + x - 20

e x t re m e f (x) = 3 x - 3

r an g e f (x) = (x - 3)^{2} + 5

What is the inverse of f(x)=-4^{-x-3}+5 ?
The inverse of f(x)=-4^{-x-3}+5 is -(ln(64(5-x)))/(2ln(2))