Problem

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 $-225$

Solution

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: \(\boxed{-225}\)

From Solvely APP
Source: https://solvelyapp.com/problems/7894/

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