Question 1139592

{{{r(x)=x+2}}}
{{{s(x)=4x^2}}}
Write the expressions for {{{(r+s)(x)}}} and {{{(r-s)(x)}}} and evaluate {{{ (r *s)(-2)}}}.

{{{(r+s)(x)=x+2+4x^2}}}

{{{(r+s)(x)=4x^2+x+2}}}....eq.1

{{{(r-s)(x)=x+2+4x^2-4x^2}}}

{{{(r-s)(x)=-4x^2+x+2}}}.......eq.2


{{{ (r *s)(-2)}}}.....first find {{{ (r *s)(x)}}}


{{{ (r *s)(x)=(x+2)4x^2}}}


{{{ (r *s)(x)=4x^3+8x^2}}}


then,
 

{{{ (r *s)(-2)=4(-2)^3+8(-2)^2}}}

{{{ (r *s)(-2)=4(-8)+8(4)}}}

{{{ (r *s)(-2)=-32+32}}}

{{{ (r *s)(-2)=0}}}