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[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

  • [tex] \sf{f(x) = x - 3}[/tex]

  • [tex] \sf f(g(x)) = g(x) - 3[/tex]

  • [tex] \sf{f(g(x)) = ({x}^{2} + 1}) - 3[/tex]

  • [tex] \sf{f(g(x)) = {x}^{2} - 2}[/tex]

you can further simplify to get ~

  • [tex] \sf{(x + \sqrt{2} )(x - \sqrt{2} )}[/tex]

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