If f(x) = x + 7 and g(x) = 1/x - 13. What is the domain of (fog)(x)?

Solution:

Given functions f(x) = x + 7 and g(x) = 1/x - 13

(fog)(x) = f(g(x))

= f(1/x - 13)

= 1/x - 13 + 7

= 1/x - 6

(fog)(x) is valid for all value of x except x = 0

Therefore, the domain is x: all real numbers except 0

If f(x) = x + 7 and g(x) = 1/x - 13. What is the domain of (fog)(x)?

Summary:

If f(x) = x + 7 and g(x) = 1/x - 13, then the domain of (fog)(x) is x: all real numbers except 0.