Question

the table below defines (f(x)) and (g(x)) for integers (x) between (-2) and (3), inclusive.

use the values in the table to compute the following function compositions.

a) (f(f(-1)))

b) (g(g(3)))

c) at what point(s) (if any) do the graphs of (f(x)) and (g(x)) intersect? enter the points as ordered pairs with multiple ordered pairs separated by commas. if there are no such pairs, enter none.

Explanation:

Evaluate the composition \(f(f(-1))\)

$$
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Evaluate the composition \(g(g(3))\)

$$
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$$

Find the intersection points of \(f(x)\) and \(g(x)\)

$$
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Answer:

Question a

\(f(f(-1)) = 1\)

Question b

\(g(g(3)) = -1\)

Question c

\((2, -1)\)