If f(x)=x^2-1 and g(x)=-2x-3, what is the domain of (fog)(x)?

The domain of (fog)(x)  is  

Step-by-step explanation:

Given function as :

f(x) = x² - 1      And

g(x) = - 2x - 3

So, Function (fog)(x) = ( -2x - 3 )² - 1

Or,  (fog)(x) = ( 4x²  + 12x + 9) - 1

Or,   (fog)(x) =  4x²  + 12x + 8

Or,   (fog)(x) =  4x²  + 4x + 8x + 8

Or,   (fog)(x) = 4x ( x + 1 ) + 8 ( x + 1 )

Or,   (fog)(x) =  ( 4x + 8 ) ( x + 1 )

∴    (fog)(x)  lies between  - 8 to - 1

Hence The domain of (fog)(x)  is      Answer