![\bf \begin{cases} f(x) = x-1\\ g(x) = 3x^2+7x-4 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(~~f(x)~~)=3[f(x)]^2+7[f(x)]-4 \\\\\\ g(~~f(x)~~)=3[x-1]^2+7[x-1]-4 \\\\\\ g(~~f(x)~~)=3[x-1][x-1]+7[x-1]-4 \\\\\\ g(~~f(x)~~)=3[\stackrel{FOIL}{x^2-2x+1}]+7x-7-4 \\\\\\ g(~~f(x)~~)=[3x^2-6x+3]+7x-11 \\\\\\ g(~~f(x)~~)=3x^2+x-8](/tpl/images/0299/1755/f166b.png)
Composition of functions
if you me so much in advanced
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