What is the inverse of f(x)=2log_{4}(x-5)+1 ?

The inverse of f(x)=2log_{4}(x-5)+1 is 2^{x-1}+5

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inverse of f(x)=2log_{4}(x-5)+1

inverse

f (x) = 2 lo g_{4} (x - 5) + 1

2^{x - 1} + 5

Solution steps

y = 2 lo g_{4} (x - 5) + 1

Replace

x

with

y

x = 2 lo g_{4} (y - 5) + 1

Solve for

y, x = 2 lo g_{4} (y - 5) + 1

2^{x - 1} + 5

f (x) = \frac{x - 8}{x ^{2} - 17 x + 72}

f (x) = 50 e^{0.1 x}

\frac{x - 1}{x ^{2} - x - 6}

2^{x - 4}

f (a) = a

What is the inverse of f(x)=2log_{4}(x-5)+1 ?
The inverse of f(x)=2log_{4}(x-5)+1 is 2^{x-1}+5