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If [tex]f(x)=2x^{2}-3x+1,[/tex] then

[tex]f(g(x))=2[g(x)]^{2}-3g(x)+1\\ \\ f(g(x))=2(x+5)^{2}-3(x+5)+1\\ \\ f(g(x))=2(x^{2}+10x+25)-3(x+5)+1\\ \\ f(g(x))=2x^{2}+20x+50-3x-15+1\\ \\ f(g(x))=2x^{2}+20x-3x+50-15+1\\ \\ \boxed{\begin{array}{c}f(g(x))=2x^{2}+17x+36 \end{array}}[/tex]

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