What is the inverse of F(x)=5-2^{(-x)} ?

The inverse of F(x)=5-2^{(-x)} is -(ln(5-x))/(ln(2))

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inverse of F(x)=5-2^{(-x)}

inverse

F (x) = 5 - 2^{(- x)}

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

Solution steps

y = 5 - 2^{- x}

Replace

x

with

y

x = 5 - 2^{- y}

Solve for

y, x = 5 - 2^{- y}

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

f (x) = cos (x - π) + 2

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

f (x) = \frac{1}{3} x - 7

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

ln (2 x - 3) - ln (x + 5) + 1

What is the inverse of F(x)=5-2^{(-x)} ?
The inverse of F(x)=5-2^{(-x)} is -(ln(5-x))/(ln(2))