Answer
$1$
Work Step by Step
RECALL:
$(G\cdot G)(x) = G(x)\cdot G(x)$
Using the formula above gives:
$(G\cdot G)(x)
\\= G(x)\cdot G(x)
\\=(5-x)(5-x)
\\=5(5)-5(x)-x(5)-x(-x)
\\=25-5x-5x+x^2
\\=x^2-10x+25$
To evaluate the given expression, substitute $6$ to $x$ in the equation above to obtain:
$(G\cdot G)(x)
\\= x^2-10x+25
\\=6^2-10(6)+25
\\=36-60+25
\\=-24+25
\\=1$
