Question

Use the graphs of f and g to evaluate the composite function (f•g)(-3)

Answer 1

`(f\circ g)(-3)=4`

To solve this, we can use the definition of composite functions:

`(f\circ g)(x)=f(g(x))`

Now we just need to find the value of g(-3) and then evaluate that result in f(x)

Looking at the graph, g(-3) = 1

Now we need to find f(1). In the graph we can see that f(1) = 4

Then f(g(-3)) = 4