Question

Find f ° g and g ° f, if they exist. f={(-4,-5),(0,3),(1,6)} and g={(-5,0),(3,-4),(6,1)}.

Answer 1

The composite function of f o g are (-4,-5),(0,3),(1,6). The composite function of g o f are (-5,0),(3,-4),(6,1).

What is a function?

A function is defined as a relation between the set of inputs having exactly one output each.

Given;

f = {(-4,-5),(0,3),(1,6)}

g = {(-5,0),(3,-4),(6,1)}.

In order to find f o g and g o f,

f o g  = f(g)

The composite function of f o g

f(-5,0) = (-4,-5)

f(3,-4) = (0,3)

f(6,1) = (1,6)

The composite function of g o f

g(-4,-5) = (-5,0)

g(0,3) = (3,-4)

g (1,6) = (6,1)

Learn more about function sum;

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