Question 1197899


16. {{{f(x) = 12x^2 + 11x - 15}}}
{{{g(x) = 10x + 15}}}

find {{{g(g(9))}}}

{{{g(g(x))=g(10x + 15)}}}
{{{g(g(x))=10(10x + 15)+15}}}
{{{g(g(x))=100x + 150+15}}}
{{{g(g(x))=100x + 165}}}

so,

{{{g(g(9))=100*9 + 165}}}
{{{g(g(9))=1065}}}


D. {{{1065}}}


17. {{{f(x) = -14x^2 - 14x + 11}}}
{{{g(x) = -14x^2 + 14x + 12}}}

find {{{g(f(3))}}}

{{{g(f(x))=g(-14x^2 - 14x + 11)}}}
{{{g(f(x))=-14(-14x^2 - 14x + 11)^2+14(-14x^2 - 14x + 11)+12}}}
{{{g(f(x))=-2744 x^4 - 5488 x^3 + 1568 x^2 + 4312 x - 1694-196 x^2 - 196 x + 154+12}}}
{{{g(f(x))=-4 (686 x^4 + 1372 x^3 - 343 x^2 - 1029 x + 382)}}}

and

{{{g(f(3))=-4 (686 *3^4 + 1372 *3^3 - 343*3^2 - 1029 *3 + 382)}}}
{{{g(f(3))=-347272}}}


E. {{{-347272}}}