First, let's calculate the composite function (g-f)(x):
[tex]\begin{gathered} (g-f)(x)=g(x)-f(x)\\ \\ =9x+12-(3x+4)\\ \\ =9x+12-3x-4\\ \\ =6x+8 \end{gathered}[/tex]
Now, let's use x = 1 and calculate the value of the expression:
[tex](g-f)(1)=6\cdot1+8=6+8=14[/tex]
Therefore the value of (g-f)(1) is equal to 14.
