Answer:
[tex]\boxed {\boxed {\sf (gh)(x)=-12x^3}}[/tex]
Step-by-step explanation:
We are asked to evaluate (gh)(x). This is an operation on functions. Basically, we will multiply g(x) by h(x).
[tex](gh)(x)= g(x) * h(x)[/tex]
The functions are:
We can substitute these into the formula.
[tex](gh)(x)=(-6x) * (2x^2)[/tex]
Multiply. Remember, both the coefficients and variables are multiplied.
[tex](gh)(x)=(-6*2)(x*x^2)[/tex]
[tex](gh)(x)=(-12)(x^3)[/tex]
[tex](gh)(x)=-12x^3[/tex]
(gh)(x) is equal to -12x³
