What is the inverse of f(x)=0.7*2^{(5.6(x-1.6))}-0.1 ?

The inverse of f(x)=0.7*2^{(5.6(x-1.6))}-0.1 is (ln((10x+1)/7))/(5.6ln(2))+1.6

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inverse of f(x)=0.7*2^{(5.6(x-1.6))}-0.1

inverse

f (x) = 0.7 \cdot 2^{(5.6 (x - 1.6))} - 0.1

\frac{ln ( \frac{10 x + 1}{7} )}{5.6 ln ( 2 )} + 1.6

Solution steps

y = 0.7 \cdot 2^{5.6 (x - 1.6)} - 0.1

Replace

x

with

y

x = 0.7 \cdot 2^{5.6 (y - 1.6)} - 0.1

Solve for

y, x = 0.7 \cdot 2^{5.6 (y - 1.6)} - 0.1

\frac{ln ( \frac{10 x + 1}{7} )}{5.6 ln ( 2 )} + 1.6

What is the inverse of f(x)=0.7*2^{(5.6(x-1.6))}-0.1 ?
The inverse of f(x)=0.7*2^{(5.6(x-1.6))}-0.1 is (ln((10x+1)/7))/(5.6ln(2))+1.6