What is the inverse of f(x)=-log_{10}(x+4)-5 ?

The inverse of f(x)=-log_{10}(x+4)-5 is 10^{-5-x}-4

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inverse of f(x)=-log_{10}(x+4)-5

inverse

f (x) = - lo g_{10} (x + 4) - 5

1 0^{- 5 - x} - 4

Solution steps

y = - lo g_{10} (x + 4) - 5

Replace

x

with

y

x = - lo g_{10} (y + 4) - 5

Solve for

y, x = - lo g_{10} (y + 4) - 5

1 0^{- 5 - x} - 4

f (x) = 10 x + 6

f (x) = x^{\frac{1}{2}}

2 x - 5 y = 4

y = x - 3

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

What is the inverse of f(x)=-log_{10}(x+4)-5 ?
The inverse of f(x)=-log_{10}(x+4)-5 is 10^{-5-x}-4