If f = (1,2) , (3,4) , (5,6) and g = (2,3) , (4,6) , (6,8) . Find the composite of gof. does fog exist?

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does not exist.  

Step-by-step explanation:

It is given that,

We need to find the composition gof.

Now,

So, .

We need to check whether exist of not.

If range of g(x) is subset of domain of f(x), then we can say composition function exists.  

Now,

Range of g(x) = {3,6,8}

Domain of f(x) = {1,3,5}

Since range of g(x) is not a subset of domain of f(x), then we can say composition function does not exist.  

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