What is the inverse of f(x)=-(x-2)^2-3 ?

The inverse of f(x)=-(x-2)^2-3 is sqrt(-x-3)+2,-sqrt(-x-3)+2

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inverse of f(x)=-(x-2)^2-3

inverse

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

- x - 3 + 2, - - x - 3 + 2

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = - (y - 2)^{2} - 3

- x - 3 + 2, - - x - 3 + 2

4 x - x^{2}

5^{\frac{x}{2}}

g (x) = x + 4 - 3

\frac{1}{5} x - 2

y = tan (x)

What is the inverse of f(x)=-(x-2)^2-3 ?
The inverse of f(x)=-(x-2)^2-3 is sqrt(-x-3)+2,-sqrt(-x-3)+2