Given the functions below, find $(h \cdot g)(4)$.
\[
\begin{array}{l}
g(x)=3 x+3 \\
h(x)=-4 x+1
\end{array}
\]
225
$-192$
192
$-225$

Answer

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Answer

Final Answer: $\boxed{-225}$

Steps

Step 1 ：Find the value of the functions $h$ and $g$ at $x=4$.

Step 2 ：For $g(4)$, substitute $x=4$ into the function $g(x)=3x+3$ to get $g(4)=3*4+3=15$.

Step 3 ：For $h(4)$, substitute $x=4$ into the function $h(x)=-4x+1$ to get $h(4)=-4*4+1=-15$.

Step 4 ：The product of the functions $h$ and $g$ evaluated at $x=4$ is $(h \cdot g)(4)=h(4)*g(4)=-15*15=-225$.

Step 5 ：So, $(h \cdot g)(4)=-225$.

Step 6 ：Final Answer: $\boxed{-225}$