What is the inverse of f(x)=-log_{9}(x-4)-6 ?

The inverse of f(x)=-log_{9}(x-4)-6 is 9^{-6-x}+4

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inverse of f(x)=-log_{9}(x-4)-6

inverse

f (x) = - lo g_{9} (x - 4) - 6

9^{- 6 - x} + 4

Solution steps

y = - lo g_{9} (x - 4) - 6

Replace

x

with

y

x = - lo g_{9} (y - 4) - 6

Solve for

y, x = - lo g_{9} (y - 4) - 6

9^{- 6 - x} + 4

f (x) = \frac{7 - 3 x}{2 x + 3}

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

\frac{1}{2} e^{2 x} + 2

cos (4 w)

\frac{x - 1}{x + 9}

What is the inverse of f(x)=-log_{9}(x-4)-6 ?
The inverse of f(x)=-log_{9}(x-4)-6 is 9^{-6-x}+4