Question

if f(x)=-9x-2 and g(x)=sqrt{x-5} , which statement is true
-2 is in the domain of f o g
-2 is not in the domain of fog ???

Answer 1

f o g *

Answer 2

f o g =f(g(x))=f(sqrt{x-5})=-9(sqrt{x-5})-2)
the domain of this function :
\[x-5\ge 0\]
\[x \ge 5\]
so x=-2 2 is not in the domain of f o g

Answer 3

x=-2 is not in the domain of fog *

Answer 4

thanks

Answer 5

wanna help me with some more ?

Answer 6

of course :)