What is the inverse of f(x)=-(x+1)2-1,x<-pi/2 ?

The inverse of f(x)=-(x+1)2-1,x<-pi/2 is -(x+1)/2-1

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inverse of f(x)=-(x+1)2-1,x<-pi/2

inverse

f (x) = - (x + 1) 2 - 1, x < - \frac{π}{2}

- \frac{x + 1}{2} - 1

Solution steps

y = - (x + 1) \cdot 2 - 1

Replace

x

with

y

x = - (y + 1) \cdot 2 - 1

Solve for

y, x = - (y + 1) 2 - 1

- \frac{x + 1}{2} - 1

What is the inverse of f(x)=-(x+1)2-1,x<-pi/2 ?
The inverse of f(x)=-(x+1)2-1,x<-pi/2 is -(x+1)/2-1