Answer: [tex](f \circ g) (10)= -18\ .[/tex]
Step-by-step explanation:
Given: [tex]f (x) = -9x - 9[/tex] and [tex]g (x) = \sqrt{x - 9}[/tex]
To find : (f o g) (10)
For this we first find (f o g) (x)= [tex]f(g(x))[/tex]
[tex]=f(\sqrt{x-9})\\\\=-9(\sqrt{x-9})-9[/tex]
Now,
[tex](f \circ g) (10)=-9(\sqrt{10-9})-9\\\\=-9\sqrt{1}-9\\\\=-9-9=-18[/tex]
Hence, the value of [tex](f \circ g) (10)= -18\ .[/tex]
