Questions: Knowledge Check
Question 11
The functions (u) and (w) are defined as follows.
(u(x)=-x+1)
(w(x)=x^2-2)
Find the value of (w(u(4))).
(w(u(4))=)
(square)
(sqrtsquare)
(square)
(square)
5
I Don't Know
Submit
Transcript text: Knowledge Check
Question 11
The functions $u$ and $w$ are defined as follows.
\[
\begin{array}{l}
u(x)=-x+1 \\
w(x)=x^{2}-2
\end{array}
\]
Find the value of $w(u(4))$.
\[
w(u(4))=
\]
$\square$
\[
\sqrt{\square}
\]
$\square$
$\qquad$
$\square$
5
I Don't Know
Submit
Solution
Solution Steps
Step 1: Evaluate \( u(4) \)
The function \( u(x) \) is defined as \( u(x) = -x + 1 \). We need to find \( u(4) \).
\[
u(4) = -(4) + 1 = -4 + 1 = -3
\]
Step 2: Evaluate \( w(u(4)) \)
Now that we have \( u(4) = -3 \), we need to find \( w(-3) \) using the function \( w(x) = x^2 - 2 \).