What is the inverse of f(x)=3*2^{2x-2}+1 ?

The inverse of f(x)=3*2^{2x-2}+1 is (ln((4(x-1))/3))/(2ln(2))

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inverse of f(x)=3*2^{2x-2}+1

inverse

f (x) = 3 \cdot 2^{2 x - 2} + 1

\frac{ln ( \frac{4 ( x - 1 )}{3} )}{2 ln ( 2 )}

Solution steps

y = 3 \cdot 2^{2 x - 2} + 1

Replace

x

with

y

x = 3 \cdot 2^{2 y - 2} + 1

Solve for

y, x = 3 \cdot 2^{2 y - 2} + 1

\frac{ln ( \frac{4 ( x - 1 )}{3} )}{2 ln ( 2 )}

x - y = 8

f (x) = - x + 2

\frac{x}{x ^{2} - 3 x - 4}

f (x) = x^{2} - 8 x + 16

f (x) = \frac{4}{x - 3}

What is the inverse of f(x)=3*2^{2x-2}+1 ?
The inverse of f(x)=3*2^{2x-2}+1 is (ln((4(x-1))/3))/(2ln(2))