Domains of Compositions

Examples

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].

Return to Examples.