Question 737041


(gof)(x) means {{{g(f(x))}}}, so you substitute the {{{f(x)}}} into the {{{g}}} formula


{{{g(x) = 3-x}}}

{{{g(f(x))=3-(f(x))}}}

{{{g(f(x))=3-(-x^2-4x+7)}}}

{{{g(f(x))=3+x^2+4x-7}}}

{{{g(f(x))=x^2+4x-4}}}.....plug in {{{x=-3}}} to  find {{{(fog)(-3)}}}

{{{fog=(-3)^2+4(-3)-4}}}

{{{fog=9-12-4}}}

{{{fog=9-16}}}

{{{fog=-7}}}