Determine the domain of fx Give your answer using interval n

Determine the domain of f(x). Give your answer using interval notation.

f(x)={

Solution

x^2 – 17 x +66 !=0

x^2 – 11x – 6x +66 !=0

(x-11)(x-6)!=0

x!=11 and x!=6

since 6 lies between 4 and 10

x!=6

so mains is [4,inf) – {6}