Part C
2 answers:
Answer:
see attached
Step-by-step explanation:
GeoGebra conveniently computes the point coordinates of the reflected points. In the attached, the reflections are done in the order listed in the table, so A' is reflected across x; A'₁ is reflected across y; A'₂ is reflected across y=x, and A'₃ is reflected across y=-x. The same notation is used for the other points. The values are listed in order, so you can copy them down the column in your table.
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Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
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In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
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