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Range of g is [2,infinity); domain of f is [-3,3]. |
(Domain of f) intersect (Range of g) on the diagonal is AB. |
Project AB horizontally to the graph of g. |
x2 + 2 = 3 implies x = +/- 1. |
Then project vertically to the x-axis. |
The domain of f(g) is [-1, 1]. |
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