1 Answer

Joachim Schork · Answer 1 · 2023-06-02T09:26:55+0000

The question requires that we evaluate the value of:

$(g\cdot f)(-2)$

Recall that:

$\left(g\cdot \:f\right)\left(x\right)=g\left(x\right)\cdot \:f\left(x\right)$

Therefore, we have that:

$\left(g\cdot\:f\right)\left(-2\right)=g\left(-2\right)\cdot\:f\left(-2\right)$

We can get the values of g(-2) and f(-2) from the graph as shown below:

Therefore, we have:

$\begin{gathered} g(-2)=5 \\ f(-2)=1 \end{gathered}$

Hence, we can calculate the composite function to be:

$\begin{gathered} (g\cdot f)(-2)=5*1 \\ (g\cdot f)(-2)=5 \end{gathered}$

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