SOLUTION: Find (g compose f)(x)and f compose g)(x)for the given functions f and g. f(x) = x + 7, g(x) = 1/x (g compose f)(x)= (f compose g)(x)=

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Question 1003805: Find (g compose f)(x)and f compose g)(x)for the given functions f and g.
f(x) = x + 7, g(x) = 1/x
(g compose f)(x)=
(f compose g)(x)=
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
It's just a matter of substituting the entire right side of the
equation of the second function -- for x in the right side of
the first function: 

f%28x%29+=+x+%2B+7, g%28x%29+=+1%2Fx

gof%28x%29+=+g%28f%28x%29%5E%22%22%29+=+1%2Ff%28x%29+=+1%2F%28x%2B7%29

fog%28x%29=f%28g%28x%29%5E%22%22%29=f%28x%29%2B7=1%2Fx%2B7=1%2Fx%2B7x%2Fx=%281%2B7x%29%2Fx

so

gof%28x%29+=+1%2F%28x%2B7%29

fog%28x%29=%281%2B7x%29%2Fx

Edwin