What is the inverse of f(x)=-2^{x-3}+3 ?

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

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inverse of f(x)=-2^{x-3}+3

inverse

f (x) = - 2^{x - 3} + 3

\frac{ln ( 3 - x )}{ln ( 2 )} + 3

Solution steps

y = - 2^{x - 3} + 3

Replace

x

with

y

x = - 2^{y - 3} + 3

Solve for

y, x = - 2^{y - 3} + 3

\frac{ln ( 3 - x )}{ln ( 2 )} + 3

f (x) = \frac{4}{x} + 2

f (x) = 2.5 x^{2} - 15 x + 8

y = x - 5

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

(10, - 8), (8, 0)

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