Answer:
(3g+3h)(-x)=[tex]-3x^3-9x+15[/tex]
Step-by-step explanation:
[tex]g(x)=x^3+3\\h(x)=3x+2\\find\\(3g+3h)(-x)=?[/tex]
so firstly,
we calculate (3g+3h)(-x)
[tex](3g+3h)(-x)=3g(x)+3h(x)[/tex]
[tex](3g+3h)(x)=3(x^3+3)+3(3x+2)[/tex]
[tex](3g+3h)(x)=3x^3+9+9x+6[/tex]
now we replace the x with -x because we need (3g+3h)(-x)
so now the equation becomes
[tex](3g+3h)(-x)=3(-x)^3+9+9(-x)+6[/tex]
[tex](3g+3h)(-x)=-3x^3+9-9x+6[/tex]
and finally when we rearrange
[tex](3g+3h)(-x)=-3x^3-9x+15[/tex]
