Question

Given the table and graph, find (fºg)(2).

Answer 1

The first thing is to remember that $(f\circ g)(2) = f(g(2))$ and you have to work from the inside.  So first, from the table, we see

    g(2) = 0

So this gives us  $f(\bold{g(2)}) =f(\bold{0})$.

Now from the graph, f(0) = -3.

Putting that together, we have

    $(f\circ g)(2) = -3$