If g(x) = (x + 3)/4, for what value of x will g(2x) = 2(g(x)) ? Express your answer in simplest form.
g(2x) = 2(g(x))
(2x + 3)/4 = 2((x + 3)/4)
(2x + 3)/4 = (x + 3)/2
2(2x + 3) = 4(x+3)
4x + 6 = 4x + 12
6 = 12???
I don't think this is possible.
=^._>^=
$\frac{2x+3}{4} = \frac{x+3}{2}$
$2x + 3 = 2x + 6$
$0 = -3$
$\boxed{\varnothing}$