Question 783577
{{{h(x)= x^2+4x+5}}}


{{{h(h(x))= (h(x))^2+4*(h(x))+5}}}


{{{h(h(x))= (x^2+4x+5)^2+4*(x^2+4x+5)+5}}}


{{{h(h(x))= (x^2+4x+5)(x^2+4x+5)+4*(x^2+4x+5)+5}}}


{{{h(h(x))= x^2(x^2+4x+5)+4x(x^2+4x+5)+5(x^2+4x+5)+4(x^2+4x+5)+5}}}


{{{h(h(x))= x^4+4x^3+5x^2+4x^3+16x^2+20x+5x^2+20x+25+4x^2+16x+20+5}}}


{{{h(h(x))= x^4+8x^3+30x^2+56x+50}}}


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Final Answer:

{{{h(h(x))= x^4+8x^3+30x^2+56x+50}}}