What is the inverse of f(x)=log_{2}(x+5)-9 ?

The inverse of f(x)=log_{2}(x+5)-9 is 2^{x+9}-5

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inverse of f(x)=log_{2}(x+5)-9

inverse

f (x) = lo g_{2} (x + 5) - 9

2^{x + 9} - 5

Solution steps

y = lo g_{2} (x + 5) - 9

Replace

x

with

y

x = lo g_{2} (y + 5) - 9

Solve for

y, x = lo g_{2} (y + 5) - 9

2^{x + 9} - 5

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

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

5 x - 3

f (x) = 4 - (x - 3)^{2}

\frac{x ^{2} - 16}{2 x ^{2} - 11 x + 12}

What is the inverse of f(x)=log_{2}(x+5)-9 ?
The inverse of f(x)=log_{2}(x+5)-9 is 2^{x+9}-5