Answer:
[tex]g(f(x)) = 4 - \frac{3}{2} ( \frac{1}{2}x + \frac{3}{2} ) \\ \\ = 4 - \frac{3}{4} x - \frac{9}{4} \\ \\ = \frac{16}{4} - \frac{3}{4}x - \frac{9}{4} \\ \\ = \frac{7}{4} - \frac{3}{4} x[/tex]
We put the equation g(x) and substitute in the place of x the equation f(x) .
I hope I helped you^_^
