Step-by-step explanation:
f°g=[tex]f(g(x))[/tex]
[tex]g(x)=x^2-6x[/tex]
[tex]f(x)=1/x[/tex]
[tex]f(g(x))=[/tex][tex]\frac{1}{x^2-6x}[/tex]
if the denominator is zero the number is undefined which makes it not in the domain of the function
set [tex]x^2-6x[/tex] equal to 0
the values for x is 0 or 6
so the only value that is not in the domain of f°g is 0 and 6
Hope that helps :)