Question

The functions u and w are defined as followu(x)=x-1W(x) = -p²-2Find the value of w(u(-1)).

Answer 1

Given:

`\begin{gathered} u(x)=x-1 \\ \\ w(x)=-x^2-2 \end{gathered}`

Let's find the value w(u(-1)).

Let's find w(u(x)).

We have:

`w(u(x))=-(x-1)^2-2`

Thus, to find w(u(-1)), substitute -1 for x in the equation above:

`\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}`

ANSWER:

w(u(-1)) = -6