Question 163666
g(x) is a sqrt, so you know that the value under the radical cannot be negative.

You then need to solve for those values of f(x) that resolve to non-negative. Any value of x that results in f(x)>=0 is in the domain.

{{{-4x +3 >= 0}}}
{{{-4x >= -3}}}
{{{x <= 3/4}}}