What is the inverse of f(x)=log_{3}(2x-4)-2 ?

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

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inverse of f(x)=log_{3}(2x-4)-2

inverse

f (x) = lo g_{3} (2 x - 4) - 2

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

Solution steps

y = lo g_{3} (2 x - 4) - 2

Replace

x

with

y

x = lo g_{3} (2 y - 4) - 2

Solve for

y, x = lo g_{3} (2 y - 4) - 2

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

f (n) = - (n + 1)^{3}

f (x) = (x - 3)^{3} - 2

f (x) = \frac{4}{x - 3} - 2

f (x) = \frac{4}{x - 3} - 1

f (x) = 5 (x^{\frac{1}{3}} - 6)

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