Can some please help me hear

Question

Consider the functions f(x)=−4x+9 and g(x)=√−x . Determine each of the following.

 f∘g(x)=  

Give the domain of f∘g(x).    

g∘f(x)=

   

Give the domain of g∘f(x).  

Answer 1

f(x)=-4x+9

g(x)= sqr(-x)

f(g(x)) =f(sqr(-x)) = -4(sqr(-x))+9

domain is x</=0

g(f(x))= g(-4x+9)= sqr(4x-9)

domain is x>/=9/4