Questions: Suppose that the functions (s) and (t) are defined for all real numbers (x) as follows
[
s(x)=x-2
t(x)=4 x+3
]
Write the expressions for ((s cdot t)(x)) and ((s-t)(x)) and evaluate ((s+t)(2)).
[
(s cdot t)(x)=square
(s-t)(x)=square
(s+t)(2)=square
]
Transcript text: Suppose that the functions $s$ and $t$ are defined for all real numbers $x$ as foll
\[
\begin{array}{l}
s(x)=x-2 \\
t(x)=4 x+3
\end{array}
\]
Write the expressions for $(s \cdot t)(x)$ and $(s-t)(x)$ and evaluate $(s+t)(2)$.
\[
\begin{array}{r}
(s \cdot t)(x)=\square \\
(s-t)(x)=\square \\
(s+t)(2)=\square
\end{array}
\]
Solution
Solution Steps
Step 1: Determine \((s \cdot t)(x)\)
To find \((s \cdot t)(x)\), we need to multiply the functions \(s(x)\) and \(t(x)\):