[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]
