Question

Consider the following graph of two functions.(8-1-2)Step 3 of 4: Find (8.5(-2)Enable Zoom/Pan866) = -3010-35SG) = x + 3

Answer 1

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}`