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

Expert–verified

Hide Steps

Answer

Final Answer: $- 225$

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 $g (x) = 3 x + 3$ to get $g (4) = 3 * 4 + 3 = 15$ .

Step 3 ：For $h (4)$ , substitute $x = 4$ into the function $h (x) = - 4 x + 1$ 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: $- 225$