Question 1103127: Given that Point A (3,4) lies on the graph of g(x), and Point A' (3,8) lies on the graph of h(x), where h(x)=(f o g) (x), the corresponding point that lies on the graph of f(x) must be ____
The teacher answer is (4,8) BUT WHY???
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website!
the point (3,4) means that g(x) = 4 when x = 3.
the point (3,8) means that h(x) = 8 when x = 3.
you are given that h(x) = fog(x).
by definition fog(x) = f(g(x)).
when x = 3, g(x) = 4, which means that f(g(x)) = f(4) = 8.
f(4) = 8 results in the point (4,8).
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