Composition of Functions

Question

If f= (-3,-5), (-2,-4), (0,-5), (1,3), (2,0), (4,7)

and g= (-4,8), (-3,-8), (-2,-3), (0,1), (1,4)

Find:

1) f°g (-2,-5), (0,3),(1,7)

2) g°f (-2,8), (2,1)

3) f°g(1) =7

Can someone explain 1-3 based on the two functions that are given at the top.

Thanks,

Brian

Answer 1

Another way to write f°g is f(g(x))

Also, you can think of a set of coordinates as an input x and an output y.

For example, it is given that f= (-3,-5), (-2,-4), (0,-5), (1,3), (2,0), (4,7)

Therefore, f(-3) = -5 , f(-2) = -4, f(0) = -5, and so on.

To find f°g, we can just plug these numbers into each function. I will do two of them as an example.

f°g(-2) = f(g(-2)) = f(-3) = -5

g°f(2) = g(f(2)) = g(0) = 1

It seems like there may be some formatting mistakes in the way you posted the question, but I hope this helps.