Let f = {(1,2), (2,3), (3,5), (4,7)} and g = {(1,4), (2,3), (3,1)}
Express each composite as a set of ordered pairs.
a) f of g
To find the composite of two functions, you need to apply the first function (f) to the second function (g).
In this case, f = {(1,2), (2,3), (3,5), (4,7)} and g = {(1,4), (2,3), (3,1)}.
To find f of g, we need to apply f to g. This means taking each ordered pair of g and applying f to it.
Starting with the first ordered pair of g, (1,4), we need to find the corresponding value of f. In f, the ordered pair with x = 1 is (1,2). So, f of (1,4) is 2.
Similarly, for the second ordered pair of g, (2,3), the corresponding value of f is 3.
For the third ordered pair of g, (3,1), the corresponding value of f is 5.
Therefore, f of g can be expressed as the set of ordered pairs: {(1,2), (2,3), (3,5)}.