How do i do this?
2. Given the following:
. . . . .\(\displaystyle f\, :\, \{1,\, 2,\, 3\}\, \rightarrow\, \{a,\, b,\, c\}, \quad f\, =\, \{(1,\, a),\, (2,\, b),\, (3,\, c)\}\)
. . . . .\(\displaystyle g\, :\, \{a,\, b,\, c\}\, \rightarrow\, \{10,\, 20,\, 30,\, 50\}, \quad g\, =\, \{(c,\, 50),\, (b,\, 10),\, (a,\, 20)\}\)
. . . . .\(\displaystyle h\, :\, \mathbb{Z}\, \rightarrow\, \mathbb{Z}, \quad h(x)\, =\, x^2\)
. . . . .\(\displaystyle i\, :\, \mathbb{Z}\, \rightarrow\, \mathbb{Z}, \quad i(x)\, =\, 2x\, +\, 4\)
...calculate the following functions, and state the domain and codomain of the resulting function:
. . . . .\(\displaystyle \mbox{(a) }\, g\, \circ\, f\)
. . . . .\(\displaystyle \mbox{(b) }\, f^{-1}\)
. . . . .\(\displaystyle \mbox{(c) }\, h\, +\, i\)
