What is the inverse of f(x)=log_{4}(x-11)+3 ?

The inverse of f(x)=log_{4}(x-11)+3 is 4^{x-3}+11

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inverse of f(x)=log_{4}(x-11)+3

inverse

f (x) = lo g_{4} (x - 11) + 3

4^{x - 3} + 11

Solution steps

y = lo g_{4} (x - 11) + 3

Replace

x

with

y

x = lo g_{4} (y - 11) + 3

Solve for

y, x = lo g_{4} (y - 11) + 3

4^{x - 3} + 11

f (x) = 2 x^{2} + 4 = y

y = - 6 x^{2}

f (x) = 6 x + 3

f (x) = x^{2} e^{10 x}

f (x) = 2 x + 3 - 5

What is the inverse of f(x)=log_{4}(x-11)+3 ?
The inverse of f(x)=log_{4}(x-11)+3 is 4^{x-3}+11