Question

given f=( (1,4) (2,2) (3,1) (4,1) ) and g=( (2,3) (3,2) (4,5) ) define f of g and g of f can you please show me the work so i can learn how to do it thanks

Answer 1

Here's an example... f of g or f o g as it's usually notated means f(g(x)). So first you find out what g(x) gives you. The first pair in g is (2,3) That means that g gets an input of 2 and gives an output of 3. So if we go back to f(g(x)), that basically means that we are taking as an input for f(x), the output for g(x) which we showed to be 3. This means that we are looking for f(3). So if we go through the ordered pairs given for f, we see the one that has an x value of 3 is (3,1) This means the f(3) is 1, and thus f(g(x)) for the first ordered pair in g is 1.

Answer 2

ok thanks this is really helping me a lot my professor words it way too much thanks

Answer 3

You're welcome. Section 12.4 in this chapter http://www.people.vcu.edu/~rhammack/BookOfProof/Functions.pdf goes into it some more. Questions 1-4 at the end of that section are identical to what you are doing, and the answers to 1 and 3 can be found here, http://www.people.vcu.edu/~rhammack/BookOfProof/Solutions.pdf

Answer 4

thanks a lot i really appreciate it

Answer 5

np