Question 1151339

Let {{{f(x) = 3x^2}}} and {{{g(x)=3-x }}}

Evaluate:
(A)
{{{(FG)(5)}}}

{{{ (FG)(x)=3x^2*(3-x)}}}...plug in {{{5}}} for {{{x}}}

{{{ (FG)(5)=3*5^2*(3-5)}}}

{{{ (FG)(5)=3*25*(-2)}}}

{{{ (FG)(5)=-150}}}



(B)

{{{(F/G)(5)}}}

{{{ (F/G)(x)=3x^2/(3-x)}}}...plug in {{{5}}} for {{{x}}}

{{{ (F/G)(5)=(3*5^2)/(3-5)}}}

{{{ (F/G)(5)=75/(-2)}}}

{{{ (F/G)(5)=-37.5)}}}


(C)

{{{(FoG)(5)=F(G(5))}}}

{{{F(G(x))=F(3-x)=3*(3-x)^2}}}.....plug in {{{5}}} for {{{x}}}

{{{F(G(5))=F(3-5)=3*(-2)^2=3*4=12}}}