KalanaB42946 KalanaB42946
  • 03-11-2022
  • Mathematics
contestada

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

The functions u and w are defined as followuxx1Wx p2Find the value of wu1 class=

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BarX264510 BarX264510
  • 03-11-2022

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

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