Find the domain of the composite function fog. 1 The domain contains all real numbers except for which two values? (smaller value) (larger value) Solution g(x)=-8/x domain of g does not contain 0 fog =f(g(x)) =1/((-8/x)+9) =1/((-8+9x)/x) =x/(9x -8) function is undefined if 9x -8=0 =>x =8/9 so domain is all real numbers except 0, 8/9.