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

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

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

inverse

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

4^{- 6 - x} - 4

Solution steps

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

Replace

x

with

y

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

Solve for

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

4^{- 6 - x} - 4

f (x) = e^{\frac{1}{x}}

\frac{x}{x - 2}

\frac{x}{ln ( x )}

f (x) = x^{2} - 2 x - 35

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

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