Given:
[tex]\begin{gathered} u(x)=x-1 \\ \\ w(x)=-x^2-2 \end{gathered}[/tex]
Let's find the value w(u(-1)).
Let's find w(u(x)).
We have:
[tex]w(u(x))=-(x-1)^2-2[/tex]
Thus, to find w(u(-1)), substitute -1 for x in the equation above:
[tex]\begin{gathered} w(u(-1))=-(-1-1)^2-2 \\ \\ w(u(-1))=-(-2)^2-2 \\ \\ w(u(-1))=-4-2 \\ \\ w(u(-1))=-6 \end{gathered}[/tex]
ANSWER:
w(u(-1)) = -6
