Given:
[tex]u(x)=x+2[/tex][tex]w(x)=-x^2-1[/tex]
Aim:
[tex]We\text{ need to find u\lparen w\lparen3\rparen\rparen.}[/tex]
Explanation:
[tex]w(x)=-x^2-1[/tex]
Substitute x =3 in the equation w(x).
[tex]w(3)=-(3)^2-1[/tex]
[tex]w(3)=-9-1[/tex]
[tex]w(3)=-10[/tex]
Substitute w(3)=-10 in the expression u(w(3)).
[tex]u(w(3))=u(-10).[/tex]
Substitute x =-10 in the eqaution u(x).
[tex]u(-10)=-10+2[/tex]
[tex]u(-10)=-8[/tex]
[tex]Use\text{ }u(-10)=-8\text{ in the equation u\lparen w\lparen3\rparen\rparen=u\lparen-10\rparen.}[/tex]
[tex]u(w(3))=u(-10)=-8[/tex]
[tex]u(w(3))=-8[/tex]
Final answer:
[tex]u(w(3))=-8[/tex]
