What is the inverse of f(x)=log_{2}(-x-1)+3 ?

The inverse of f(x)=log_{2}(-x-1)+3 is -2^{x-3}-1

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inverse of f(x)=log_{2}(-x-1)+3

inverse

f (x) = lo g_{2} (- x - 1) + 3

- 2^{x - 3} - 1

Solution steps

y = lo g_{2} (- x - 1) + 3

Replace

x

with

y

x = lo g_{2} (- y - 1) + 3

Solve for

y, x = lo g_{2} (- y - 1) + 3

- 2^{x - 3} - 1

f (x) = 4 - x + 1

f (x) = x - 2 + 3

f (x) = x^{2} + 2 x - 15

3 - x

(- 5, 6), (- 3, - 1)

What is the inverse of f(x)=log_{2}(-x-1)+3 ?
The inverse of f(x)=log_{2}(-x-1)+3 is -2^{x-3}-1