Answer:
a) -2
b) -6
c) -2
Step-by-step explanation:
a)
We are evaluating f(g(2)):
First, we have to find g(2). This will be the y-coordinate on the graph of g(x) when x = 2. We can see that this is -1.
So, our expression becomes:
f(-1)
Next, we can find f(-1) by identifying the y-coordinate of f(x) at x = -1. This is -2.
Thus,
f(g(2)) = -2
b)
We are evaluating f(4) · g(4), given by the shorthand notation (fg)(4):
We can identify the function values:
Thus,
(fg)(4) = 3 · (-2) = -6
c)
We are evaluating f(f(0)):
We can identify the function values:
Thus,
f(f(0)) = -2
