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FIND:  $[g \\circ f](x)$

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$[g \\circ f](x) =$

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FIND: $[f +g](x)$

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 $[f +g](x)=$

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FIND:   $[f -g](x)$

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 $[f -g](x)=$

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FIND:   $[f  \\cdot g](x)$

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$[f  \\cdot g](x) = $

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FIND:  $[\\frac{f}{g}](x)$

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$[\\frac{f}{g}](x)=$

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For the result $[\\frac{f}{g}](x)$, what is the restriction on the domain of the new function?

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$x \\ne $?

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GIVEN:  $f(x) = \\simplify{ {D}*x^2 +{A}}$ and $g(x) = \\simplify{ {F}*x^2 + {B}*x + {C} }$

", "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}]}], "contributors": [{"name": "Terry Young", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3130/"}]}