What is the inverse of f(x)=-2^{x-5}+4 ?

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

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inverse of f(x)=-2^{x-5}+4

inverse

f (x) = - 2^{x - 5} + 4

\frac{ln ( 4 - x )}{ln ( 2 )} + 5

Solution steps

y = - 2^{x - 5} + 4

Replace

x

with

y

x = - 2^{y - 5} + 4

Solve for

y, x = - 2^{y - 5} + 4

\frac{ln ( 4 - x )}{ln ( 2 )} + 5

cos (\frac{71}{6854})

\frac{( x - 2 )}{8}

k (x) = 2 x - 5

- \frac{x}{x ^{2} - 9}

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

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