Questions: Suppose that the functions (r) and (s) are defined for all real numbers (x) as follows. [ r(x)=x^2 s(x)=2 x^3 ] Write the expressions for ((r+s)(x)) and ((r cdot s)(x)) and evaluate ((r-s)(-1)). [ (r+s)(x)= (r cdot s)(x)= (r-s)(-1)= ]
![Suppose that the functions (r) and (s) are defined for all real numbers (x) as follows.
[
r(x)=x^2
s(x)=2 x^3
]
Write the expressions for ((r+s)(x)) and ((r cdot s)(x)) and evaluate ((r-s)(-1)).
[
(r+s)(x)=
(r cdot s)(x)=
(r-s)(-1)=
]](https://thumbnail.justsolvely.com/seoQuestionThumb/6da295a8-66e0-438e-a735-9af09a3bb58f.webp)
Transcript text: Suppose that the functions $r$ and $s$ are defined for all real numbers $x$ as follows.
\[
\begin{array}{l}
r(x)=x^{2} \\
s(x)=2 x^{3}
\end{array}
\]
Write the expressions for $(r+s)(x)$ and $(r \cdot s)(x)$ and evaluate $(r-s)(-1)$.
\[
\begin{array}{r}
(r+s)(x)=\square \\
(r \cdot s)(x)=\square \\
(r-s)(-1)=\square
\end{array}
\]
$\square$ $\square$ $\square$
Solution
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