If g(x) = (x + 3)/4, for what value of x will g(2x) = 2(g(x)) ? Express your answer in simplest form.
g(x) = (x + 3)/4 ---> g(2x) = (2x + 3)/4
g(x) = (x + 3)/4 ---> 2( g(x) ) = 2( (x + 3)/4 ) = (x + 3)/2
g(2x) = 2( g(x) ) ---> (2x + 3)/4 = (x + 3)/2
(multiply by 4) (2x + 3) = 2(x + 3)
2x + 3 = 2x + 6
3 = 6 <--- Impossible! No value works.