What is the inverse of f(x)=2^{x-5}*0.44 ?

The inverse of f(x)=2^{x-5}*0.44 is (ln(\frac{25x)/(11))}{ln(2)}+5

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inverse of f(x)=2^{x-5}*0.44

inverse

f (x) = 2^{x - 5} \cdot 0.44

\frac{ln ( \frac{25 x}{11} )}{ln ( 2 )} + 5

Solution steps

y = 2^{x - 5} \cdot 0.44

Replace

x

with

y

x = 2^{y - 5} \cdot 0.44

Solve for

y, x = 2^{y - 5} \cdot 0.44

\frac{ln ( \frac{25 x}{11} )}{ln ( 2 )} + 5

Y (x) = x^{4} + 1

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

f (x) = 18 x + 32

\frac{13}{x + 7}

f (x) = - 9 x = 36

What is the inverse of f(x)=2^{x-5}*0.44 ?
The inverse of f(x)=2^{x-5}*0.44 is (ln(\frac{25x)/(11))}{ln(2)}+5