Finding the domain of functions f(x) and g(x)

16. If f(x) = (1)/(2x-3) and g(x) = 3x-4, find the domain of h(x) = f(g(x)).

a. x = 3/2 only
b. x = 11/6 only
c. All real numbers except x = 3/2
d. All real numbers except x = 11/6
e. All real numbers

f(g(x)) = 1/(2(3x-4)-3) = 1/(6x-8-3) = 1/(6x-11)

answer d