Answer:
[tex]\large\boxed{g(x)\cdot f(x)=27x^2-33x-4}[/tex]
Step-by-step explanation:
[tex]g(x)=9x+1\\h(x)=3x-4\\\\g(x)\cdot h(x)=(9x+1)(3x-4)\\\\\text{use FOIL}:\ (a+b)(c+d)=ac+ad+bc+bd\\\\g(x)\cdot f(x)=(9x)(3x)+(9x)(-4)+(1)(3x)+(1)(-4)\\\\g(x)\cdot f(x)=27x^2-36x+3x-4\\\\g(x)\cdot f(x)=27x^2-33x-4[/tex]